Asian-European Journal of Mathematics [SJR: 0.204] [H-I: 8] [2 followers] Follow Hybrid journal (It can contain Open Access articles) ISSN (Print) 1793-5571 - ISSN (Online) 1793-7183 Published by World Scientific [117 journals] |
- Dunkl generalization of Kantorovich type Szász–Mirakjan
operators via [math]-calculus- Authors: M. Mursaleen, Md. Nasiruzzaman
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, we construct Kantorovich type Szász–Mirakjan operators generated by Dunkl generalization of the exponential function via [math]-integers. We obtain some approximation results via well-known Korovkin’s type theorem for these operators and study convergence properties by using the modulus of continuity. Furthermore, we obtain the rate of convergence in terms of the classical, second-order, and weighted modulus of continuity.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:24Z
DOI: 10.1142/S1793557117500772
- Authors: M. Mursaleen, Md. Nasiruzzaman
- Banach algebra with generalized derivations
- Authors: S. K. Tiwari, B. Prajapati, R. K. Sharma
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
Let [math] be a unital prime Banach algebra over complex field [math] with unity and [math] be a nonzero continuous linear generalized derivation associated with a nonzero continuous linear derivation [math]. In this paper, we investigate the commutativity of [math]. In particular, we prove that a unital prime Banach algebra [math] is commutative if one of the following holds; (i) either [math] or [math], (ii) either [math] or [math], for sufficiently many [math], for any complex numbers [math] and an integer [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:22Z
DOI: 10.1142/S1793557117500693
- Authors: S. K. Tiwari, B. Prajapati, R. K. Sharma
- Fractional integration operator for numerical solution of the
integro-partial time fractional diffusion heat equation with weakly
singular kernel- Authors: Sedigheh Zaeri, Habibollah Saeedi, Mohammad Izadi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, an approximate solution for solving weakly singular kernel partial integro-differential equations with time fractional order is proposed. The method is based on using a second-order time difference approximation followed by applying the fractional integral operator and piecewise linear interpolation to compute the singularity of the kernel that appear in the discretization process. The stability of the method is also considered in the sense of von Neumann analysis. Numerical examples are solved to demonstrate the validity and applicability of the presented technique.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:21Z
DOI: 10.1142/S1793557117500711
- Authors: Sedigheh Zaeri, Habibollah Saeedi, Mohammad Izadi
- Set-valued contraction mappings of Prešić–Reich type in
ultrametric spaces- Authors: D. Ramesh Kumar, M. Pitchaimani
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, we introduce the concept of set-valued Prešić–Reich type contractive condition in ultrametric spaces and establish the existence and uniqueness of coincidence and common fixed point of a set-valued and a single-valued mapping besides furnishing illustrative examples to highlight the realized improvements in the context of ultrametric spaces. Our results generalize and extend some known results in the literature.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:20Z
DOI: 10.1142/S1793557117500656
- Authors: D. Ramesh Kumar, M. Pitchaimani
- On weakly [math]-absorbing subtractive ideals in semirings
- Authors: J. N. Chaudhari, M. D. Suryawanshi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
Let [math] be a commutative semiring with identity [math]. In this paper weakly [math]-absorbing ideal of [math] which is a generalization of weakly prime ideal of [math] is introduced and some related results are obtained.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:19Z
DOI: 10.1142/S1793557117500632
- Authors: J. N. Chaudhari, M. D. Suryawanshi
- Boundedness of fractional differential operator in complex spaces
- Authors: Rabha W. Ibrahim, Adem Kılıçman, Zainab E. Abdulnaby
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this work, we introduce some properties of a complex fractional differential operator. The boundedness and some other properties are studied in view of geometric function theory.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:16Z
DOI: 10.1142/S1793557117500759
- Authors: Rabha W. Ibrahim, Adem Kılıçman, Zainab E. Abdulnaby
- On Nadler type results in ultrametric spaces with application to
well-posedness- Authors: M. Pitchaimani, D. Ramesh Kumar
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, we generalize Nadler’s result by establishing the existence and uniqueness of coincidence and common fixed points of Nadler’s type set-valued mappings in ultrametric spaces. Examples are given to illustrate the results. As an application, well-posedness of a common fixed point problem is proved. The presented results generalize many known results in literature in the framework of ultrametric spaces.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:15Z
DOI: 10.1142/S1793557117500735
- Authors: M. Pitchaimani, D. Ramesh Kumar
- New complexity analysis of a full Nesterov–Todd step interior-point
method for semidefinite optimization- Authors: Behrouz Kheirfam
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, we propose a new primal-dual path-following interior-point method for semidefinite optimization based on a new reformulation of the nonlinear equation of the system which defines the central path. The proposed algorithm takes only full Nesterov and Todd steps and therefore no line-searches are needed for generating the new iterations. The convergence of the algorithm is established and the complexity result coincides with the best-known iteration bound for semidefinite optimization problems.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:14Z
DOI: 10.1142/S179355711750070X
- Authors: Behrouz Kheirfam
- On a subclass of quasi-convex functions with fixed second coefficient
- Authors: G. Thirupathi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, we introduce the concept of quasi-convex functions by considering a subclass [math] of normalized analytic functions in the unit disk [math] for some convex function [math] with fixed second coefficient of order [math], such that Re (zf′(z))′ g′(z) ≥ β. We obtain results on growth and distortion theorems and radius of convexity.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:10Z
DOI: 10.1142/S1793557117500784
- Authors: G. Thirupathi
- Author index (Vol. 10)
- Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:10Z
DOI: 10.1142/S1793557117990017
- Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
- On dimension of Schur multiplier of nilpotent Lie algebras II
- Authors: F. Saeedi, H. Arabyani, P. Niroomand
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
Let [math] be a non-abelian nilpotent Lie algebra of dimension [math] and put [math], where [math] denotes the Schur multiplier of [math]. Niroomand and Russo in 2011 proved that [math] and that [math] if and only if [math], in which [math] is the Heisenberg algebra of dimension [math] and [math] is the abelian [math]-dimensional Lie algebra. In the same year, they also classified all nilpotent Lie algebras [math] satisfying [math] or [math]. In this paper, we obtain all nilpotent Lie algebras [math] provided that [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:09Z
DOI: 10.1142/S1793557117500760
- Authors: F. Saeedi, H. Arabyani, P. Niroomand
- Starlike functions associated with a lune
- Authors: Shweta Gandhi, V. Ravichandran
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
Several subclasses of starlike functions are associated with regions in the right half plane of the complex plane, like half-plane, disks, sectors, parabolas and lemniscate of Bernoulli. For a normalized analytic function [math] defined on the open unit disk [math] belonging to certain well-known classes of functions associated with the above regions, we investigate the radius [math] such that, for the function [math], [math] lies in the lune defined by [math] for all [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:07Z
DOI: 10.1142/S1793557117500644
- Authors: Shweta Gandhi, V. Ravichandran
- Geometric aspects of CR-warped product submanifolds of [math]-manifolds
- Authors: Akram Ali, Wan Ainun Mior Othman
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, we study CR-warped product submanifolds of [math]-manifolds. We prove that the CR-warped product submanifolds with invariant fiber are trivial warped products and provide a characterization theorem of CR-warped products with anti-invariant fiber of [math]-manifolds. Moreover, we develop an inequality of CR-warped product submanifolds for the second fundamental form in terms of warping function and the equality cases are considered. Also, we find a necessary and sufficient condition for compact oriented CR-warped products turning into CR-products of [math]-space forms.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:06Z
DOI: 10.1142/S179355711750067X
- Authors: Akram Ali, Wan Ainun Mior Othman
- The total graph of unfaithful submodules of a module over reversible rings
- Authors: A. Alibemani, E. Hashemi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
Let [math] be an associative ring with identity. A ring [math] is called reversible if [math], then [math] for [math]. The total graph of unfaithful submodules of a module [math] over a reversible ring [math], denoted by [math], is a graph whose vertices are all nonzero unfaithful submodules of [math] and two distinct vertices [math] and [math] are adjacent if [math] is unfaithful. In this paper, we determine the diameter and girth of [math]. Also, we study some combinatorial properties of [math] such as independence number and clique number. Moreover, we study the case that the degree of a vertex of [math] is finite.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:04Z
DOI: 10.1142/S1793557117500747
- Authors: A. Alibemani, E. Hashemi
- Positive solutions of [math]th-order impulsive eigenvalue problems with an
advanced argument- Authors: Gaoli Lu, Meiqiang Feng
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
In this paper, we study a [math]th-order impulsive eigenvalue problem with an advanced argument. We shall establish several criteria for the optimal intervals of the parameter [math] so as to ensure existence of single or many positive solutions. Our methods are based on transformation technique, Hölder’s inequality and the eigenvalue theory.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:01Z
DOI: 10.1142/S1793557117500723
- Authors: Gaoli Lu, Meiqiang Feng
- Inclusion properties of certain subclass of univalent meromorphic
functions defined by a linear operator associated with Hurwitz–Lerch
zeta function- Authors: F. Ghanim, R. M. El-Ashwah
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 04, December 2017.
By using a linear operator associated with the Hurwitz–Lerch zeta function, which is defined here by means of the Hadamard product (or convolution), the authors introduce and investigate certain inclusion relationships of certain subclass of univalent meromorphic functions defined in the punctured unit disc.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-31T06:54:00Z
DOI: 10.1142/S1793557117500668
- Authors: F. Ghanim, R. M. El-Ashwah
- Complete rewriting system for the Schützenberger product of [math]
groups- Authors: Esra Kırmızı Çetinalp, Eylem Güzel Karpuz, Ahmet Sinan Çevik
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we obtain a complete rewriting system for monoid presentation of Schützenberger product of [math] groups, which is firstly defined in [G. M. S. Gomes, H. Sezinando and J. E. Pin, Presentations of the Schützenberger product of [math] groups, Comm. Algebra 34(4) (2006) 1213–1235]. It gives an algorithm for getting normal form of elements and hence solving the word problem in this group.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T11:15:58Z
DOI: 10.1142/S1793557119500128
- Authors: Esra Kırmızı Çetinalp, Eylem Güzel Karpuz, Ahmet Sinan Çevik
- Discrete duality for De Morgan Algebras with operators
- Authors: Verónica Gregori
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A discrete duality is a relationship between classes of algebras and classes of relational systems (frames). In this paper, discrete dualities are presented for De Morgan algebras with various kind of unary operators. To do this, we will extend the discrete duality given in [W. Dzik, E. Orłowska and C. van Alten, Relational representation theorems for general lattices with negations, in Relations and Kleene Algebra in Computer Science, Lecture Notes in Computer Science, Vol. 4136 (Springer, Berlin, 2006), pp. 162–176], for De Morgan algebras.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T10:22:53Z
DOI: 10.1142/S1793557119500104
- Authors: Verónica Gregori
- Iso-retractable modules and rings
- Authors: A. K. Chaturvedi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The modules which are isomorphic to their non-zero submodules are known as iso-retractable. We characterize simple modules in terms of iso-retractable modules. We provide several sufficient conditions for iso-retractable modules to be simple. We show that if the endomorphism ring of an iso-retractable module is von-Neumann regular then [math] is a simple module. In general, iso-retractable modules need not be projective (injective) and vice versa. We investigate some properties of iso-retractable modules with projectivity as well as injectivity. Finally, we provide some open problems.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T10:22:53Z
DOI: 10.1142/S179355711950013X
- Authors: A. K. Chaturvedi
- New process to approach linear Fredholm integral equations defined on
large interval- Authors: Samir Lemita, Hamza Guebbai
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
To tackle a linear Fredholm integral equation on great interval, two numerical processes are involved: discretization and iterative scheme. The conventional numerical process is discretize first then use an iterative scheme as Jacobi’s method to approach the solutions of the huge algebraic system. In this paper, we propose an alternative numerical process, we apply an iterative scheme based on construction of a generalization of the iterative scheme for Jacobi method which is adapted to the system of linear bounded operators, then we use Nyström method to discretize only the diagonal part of the system. The convergence analysis of this new method is proved and numerical tests developed show its effectiveness.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-11-03T10:22:52Z
DOI: 10.1142/S1793557119500098
- Authors: Samir Lemita, Hamza Guebbai
- Existence of solutions for a higher order fractional boundary value
problem posed on the half-line- Authors: A. Boucenna, T. Moussaoui
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The aim of this paper is to study the existence and uniqueness of solutions for a boundary value problem associated with a fractional nonlinear differential equation with higher order posed on the half-line. An appropriate continuous embedding for suitable Banach spaces are proved and the Minty–Browder theorem for monotone operators is used in the proof of existence of solutions for a boundary value problem of fractional order posed on the half-line.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-20T11:41:16Z
DOI: 10.1142/S1793557119500086
- Authors: A. Boucenna, T. Moussaoui
- [math]-[math]-Compactness and [math]-[math]-stability in ditopological
texture spaces- Authors: M. Parimala, R. Udhayakumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of [math]-[math]-open and [math]-[math]-closed sets and some of their characterizations are obtained.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:52Z
DOI: 10.1142/S1793557119500049
- Authors: M. Parimala, R. Udhayakumar
- Sensitivity, property [math] and uniform entropy
- Authors: Sejal Shah, Ruchi Das, Tarun Das
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We give a sufficient condition for sensitivity of continuous maps defined on a uniform space. We also study property [math] for uniformly continuous maps defined on a uniform space and its relation with uniform entropy.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:50Z
DOI: 10.1142/S1793557119500025
- Authors: Sejal Shah, Ruchi Das, Tarun Das
- Characterizing 2-distance graphs
- Authors: Ramuel P. Ching, I. J. L. Garces
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a finite simple graph. The [math]-distance graph [math] of [math] is the graph with the same vertex set as [math] and two vertices are adjacent if and only if their distance in [math] is exactly [math]. A graph [math] is a [math]-distance graph if there exists a graph [math] such that [math]. In this paper, we give three characterizations of [math]-distance graphs, and find all graphs [math] such that [math] or [math], where [math] is an integer, [math] is the path of order [math], and [math] is the complete graph of order [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:49Z
DOI: 10.1142/S1793557119500062
- Authors: Ramuel P. Ching, I. J. L. Garces
- Birkhoff center of [math]-semiring
- Authors: S. Kar, S. Purkait, R. Sarkar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of Birkhoff center of a [math]-semiring and provide some characterizations of this center. Finally, we prove that the Birkhoff center of a [math]-semiring forms a distributive lattice.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:48Z
DOI: 10.1142/S1793557119500037
- Authors: S. Kar, S. Purkait, R. Sarkar
- Some commutativity theorems for rings with involution involving
generalized derivations- Authors: My Abdallah Idrissi, Lahcen Oukhtite
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Our purpose in this paper is to investigate commutativity of a ring with involution [math] which admits a generalized derivation satisfying certain algebraic identities. Some well-known results characterizing commutativity of prime rings have been generalized. Moreover, we provide examples to show that the assumed restrictions cannot be relaxed.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:47Z
DOI: 10.1142/S1793557119500013
- Authors: My Abdallah Idrissi, Lahcen Oukhtite
- Some varieties of algebraic systems of type [math]
- Authors: D. Phusanga, J. Koppitz
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the present paper, we classify varieties of algebraic systems of the type [math], for natural numbers [math] and [math], which are closed under particular derived algebraic systems. If we replace in an algebraic system the [math]-ary operation by an [math]-ary term operation and the [math]-ary relation by the [math]-ary relation generated by an [math]-ary formula, we obtain a new algebraic system of the same type, which we call derived algebraic system. We shall restrict the replacement to so-called “linear” terms and atomic “linear” formulas, respectively.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-10-19T09:01:46Z
DOI: 10.1142/S1793557119500050
- Authors: D. Phusanga, J. Koppitz
- Semigroups of linear tree languages
- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A linear tree language of type [math] is a set of linear terms, terms in which each variable occurs at most once, of that type. We investigate a semigroup consisting of the collection of all linear tree languages such that products of any element in the collection are nonempty and the operation of the corresponding linear product especially idempotent elements, Green’s relations [math], [math], and [math], and some of its subsemigroups. We discover that this semigroup is neither factorizable nor locally factorizable. We also study the linear product iteration and show that any iteration is idempotent in this semigroup. Moreover, we study a semigroup with the complement of the universe set of the above semigroup together with the same linear product operation.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-28T04:12:21Z
DOI: 10.1142/S1793557118500912
- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
- The cozero-divisor graph of a module
- Authors: A. Alibemani, E. Hashemi, A. Alhevaz
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be an associative ring with non-zero identity and [math] a non-zero unital left [math]-module. The cozero-divisor graph of [math], denoted by [math], is a graph with vertices [math] and two distinct vertices [math] and [math] are adjacent if [math] and [math]. In this paper, we study some connections between the graph-theoretic properties of [math] and algebraic-theoretic properties of [math] and [math]. Also, we study girth, independence number, clique number and planarity of this graph.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-28T04:12:21Z
DOI: 10.1142/S1793557118500924
- Authors: A. Alibemani, E. Hashemi, A. Alhevaz
- Mathematical modeling and optimal control of corruption dynamics
- Authors: S. Athithan, Mini Ghosh, Xue-Zhi Li
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The problem of corruption is of serious concern in all the nations, more so in the developing countries. This paper presents the formulation of a corruption control model and its analysis using the theory of differential equations. We found the equilibria of the model and stability of these equilibria are discussed in detail. The threshold quantity [math] which has a similar implication here as in the epidemiological modeling is obtained for the present model. The corruption free equilibrium is found to be stable when [math] is less than [math] and unstable for [math]. The endemic equilibrium which signifies the presence of corrupted individuals in the society exists only when [math]. This equilibrium point is locally asymptotically stable whenever it exists. We perform extensive numerical simulations to support the analytical findings. Furthermore, we extend the model to include optimal control and the optimal control profile is obtained to get the maximum control within a stipulated period of time. Our presented results show that the level of corruption in the society can be reduced if corruption control efforts through media/punishments etc. are increased and put in place.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-22T02:10:34Z
DOI: 10.1142/S1793557118500900
- Authors: S. Athithan, Mini Ghosh, Xue-Zhi Li
- Numerical solution for system of nonlinear Fredholm–Hammerstein integral
equations based on hybrid Bernstein Block-Pulse functions with the Gauss
quadrature rulec- Authors: Esmail Hesameddini, Mostafa Khorramizadeh, Mehdi Shahbazi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This work provides an efficient method for solving system of nonlinear Fredholm–Hammerstein integral equations. The propose method approximates the unknown function with hybrid Bernstein Block-Pulse functions (HBPF). In order to do this, we apply these functions and then using the collocation method for the numerical solutions of this system. Furthermore, we implement this method in conjunction with the quadrature rule for converting the problem to a system of algebraic equations that can be solved easily by applying mathematical programming techniques. The merits of this method lie in the fact that, on the one hand, the problem will be reduced to a system of algebraic equations and on the other hand, the efficiency and accuracy of the hybrid Bernstein Block-Pulse functions with the Gauss quadrature rule (HBPF-GQR) for solving this system are remarkable. The existence and uniqueness of solution have been presented. Moreover, the convergence of this algorithm will be shown by preparing some theorems. Several numerical examples are presented to show the superiority and efficiency of current method in comparison with some other well-known methods.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-22T02:10:34Z
DOI: 10.1142/S1793557118500894
- Authors: Esmail Hesameddini, Mostafa Khorramizadeh, Mehdi Shahbazi
- Ideals of Core Regular Double Stone Algebra
- Authors: A. R. J. Srikanth, R. V. G. Ravi Kumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A regular double Stone algebra with nonvoid core is called core regular double Stone algebra (CRDSA) [6] and this particular core element affects the behavior of the algebra in certain aspects especially in characterization of maximal and prime ideals. In this paper, an elegant characterization for maximal and prime ideals of a CRDSA is established.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:15Z
DOI: 10.1142/S1793557118500833
- Authors: A. R. J. Srikanth, R. V. G. Ravi Kumar
- Cyclic self-orthogonal codes over finite chain ring
- Authors: Abhay Kumar Singh, Narendra Kumar, Kar Ping Shum
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study the cyclic self-orthogonal codes over a finite commutative chain ring [math], where [math] is a prime number. A generating polynomial of cyclic self-orthogonal codes over [math] is obtained. We also provide a necessary and sufficient condition for the existence of nontrivial self-orthogonal codes over [math]. Finally, we determine the number of the above codes with length [math] over [math] for any [math]. The results are given by Zhe-Xian Wan on cyclic codes over Galois rings in [Z. Wan, Cyclic codes over Galois rings, Algebra Colloq. 6 (1999) 291–304] are extended and strengthened to cyclic self-orthogonal codes over [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:15Z
DOI: 10.1142/S179355711850078X
- Authors: Abhay Kumar Singh, Narendra Kumar, Kar Ping Shum
- The weight distributions of irreducible cyclic codes of length [math]
- Authors: Monika Sangwan, Pankaj Kumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a primitive root modulo [math], where [math] and [math] are distinct odd primes. Let [math] be a finite field. For such pair of [math] and [math], the explicit expressions of minimal and generating polynomials over [math] are obtained for all irreducible cyclic codes of length [math]. In Sec. [4], it is observed that the weight distributions of all irreducible cyclic codes of length [math] over [math] can be computed easily with the help of the results obtained in [P. Kumar, M. Sangwan and S. K. Arora, The weight distribution of some irreducible cyclic codes of length [math] and [math], Adv. Math. Commun. 9 (2015) 277–289]. An explicit formula is also given to compute the weight distributions of irreducible cyclic codes of length [math] over [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:14Z
DOI: 10.1142/S1793557118500857
- Authors: Monika Sangwan, Pankaj Kumar
- Existence results for diffusion–convection equations of nonlinear
unilateral problems defined in Orlicz–Sobolev spaces- Authors: H. Moussa, M. Rhoudaf, H. Sabiki
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We prove the existence result of unilateral problems associated to strongly nonlinear elliptic equations whose model, including the diffusion–convection equation, is [math]. We study exactly the following general case [math] where [math] is a Leray–Lions operator having a growth not necessarily of polynomial type, the lower order term [math] : [math] is a Carathéodory function, for a.e. [math] and for all [math] satisfying only a growth condition and the right-hand side [math] belongs to [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:14Z
DOI: 10.1142/S1793557118500791
- Authors: H. Moussa, M. Rhoudaf, H. Sabiki
- Variants for the logarithmic-quadratic proximal point scalarization method
for multiobjective programming- Authors: Rómulo Castillo, Clavel Quintana
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We consider the proximal point method for solving unconstrained multiobjective programming problems including two families of real convex functions, one of them defined on the positive orthant and used for modifying a variant of the logarithm-quadratic regularization introduced recently and the other for defining a family of scalar representations based on 0-coercive convex functions. We show convergent results, in particular, each limit point of the sequence generated by the method is a weak Pareto solution. Numerical results over fourteen test problems are shown, some of them with complicated pareto sets.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:13Z
DOI: 10.1142/S179355711850081X
- Authors: Rómulo Castillo, Clavel Quintana
- Lie nilpotency indices of modular group algebras II
- Authors: Meena Sahai, Reetu Siwach, R. K. Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be the modular group algebra of a group [math] over a field [math] of characteristic [math]. The classification of the group algebras [math] with upper Lie nilpotency index [math] greater than or equal to [math] has already been done. In this paper, we determine the group algebras [math] such that [math], [math], [math], [math], [math] or [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:13Z
DOI: 10.1142/S1793557118500870
- Authors: Meena Sahai, Reetu Siwach, R. K. Sharma
- Positivity and recursion formula of the linearization coefficients of
Bessel polynomials- Authors: M. Benabdallah, M. J. Atia
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Positivity of the linearization coefficients for Bessel polynomials is proved in a more general case. The proof is based not only on a recursion formula (a formula similar to one given by Berg and Vignat) but also on giving an explicit triple sum formula. Moreover, this triple sum is simplified and a double sum formula for these linearization coefficients is given. In two general cases, this formula reduces indeed to either Atia and Zeng’s formula (M. J. Atia and J. Zeng, An explicit formula for the linearization coefficients of Bessel polynomials, Ramanujan J. 28(2) (2012) 211–221, doi: 10.1007/s11139-011-9348-4) or Berg and Vignat’s formulas in their proof of the positivity results about these coefficients (C. Berg and C. Vignat, Linearization coefficients of Bessel polynomials and properties of student [math]-distributions, Constr. Approx. 27 (2008) 15–32).
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:12Z
DOI: 10.1142/S1793557118500808
- Authors: M. Benabdallah, M. J. Atia
- On the neutrix composition of [math] and [math]
- Authors: Mongkolsery Lin
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The neutrix composition [math], [math] is a distribution and [math] is a locally summable function, is defined as the neutrix limit of the sequence [math], where [math] and [math] is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function [math]. The neutrix composition of the distributions [math] and [math] is evaluated for [math] Further related results are also deduced.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:12Z
DOI: 10.1142/S1793557118500869
- Authors: Mongkolsery Lin
- The non-abelian tensor square of [math]-groups of order [math]
- Authors: Taleea Jalaeeyan Ghorbanzadeh, Mohsen Parvizi, Peyman Niroomand
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, in the class of [math]-groups of order [math], we obtain the non-abelian exterior square, the exterior center, the non-abelian tensor square, the tensor center and the third homotopy group of suspension of an Eilenberg–MacLane space [math] of such groups.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:11Z
DOI: 10.1142/S1793557118500845
- Authors: Taleea Jalaeeyan Ghorbanzadeh, Mohsen Parvizi, Peyman Niroomand
- Approximate controllability of semilinear fractional stochastic control
system- Authors: Anurag Shukla, N. Sukavanam, D. N. Pandey
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The objective of this paper is to present some sufficient conditions for approximate controllability of semilinear fractional stochastic control system with delay. The results hold when the nonlinear function is Lipschitz continuous. Sufficient conditions are obtained by separating the given fractional semilinear stochastic system into two systems namely a semilinear fractional system and a fractional linear stochastic system. To prove our results, the Schauder fixed point theorem is applied. At the end, one example is given to illustrate the results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:11Z
DOI: 10.1142/S1793557118500882
- Authors: Anurag Shukla, N. Sukavanam, D. N. Pandey
- Fundamental group of the digital circle
- Authors: Pooja Singh, Dania Masood
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
An analog of extended real line, [math]-sphere and [math]-disc in the setting of digital topology has been provided and the fundamental group of the digital circle has been computed which comes out to be the additive group [math] of integers.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-15T09:11:11Z
DOI: 10.1142/S1793557118500821
- Authors: Pooja Singh, Dania Masood
- A collocation method for a class of Fredholm integral equations with
highly oscillatory kernels- Authors: Roghayeh Katani, Fatemeh Pourahmad
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, a collocation method by using Clenshaw–Curtis points is proposed to solve the Fredholm integral equations (FIEs) with highly oscillatory kernels. The collocation method is being applied to graded and uniform meshes. Due to the highly oscillatory kernels of integral equations, the discretized collocation equation will lead to the computation of the oscillatory integrals which will be computed by using the efficient Filon-type method. Finally, the effectiveness and accuracy of the proposed method are confirmed by numerical examples.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-25T08:42:10Z
DOI: 10.1142/S1793557118500766
- Authors: Roghayeh Katani, Fatemeh Pourahmad
- On the [math]-coherence of the perfect closure of some ring extensions
- Authors: Farzad Shaveisi, Mostafa Amini
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A ring [math] is called [math]-coherent if every [math]-presented ideal of [math] is [math]-presented. In this paper, the [math]-coherence of the perfect closure [math] is investigated. We show that if [math] is [math]-coherent, then it is normal. Also, it is shown that the perfect closure of a Noetherian reduced ring is [math]-coherent if and only if the perfect closure of its Henselization is [math]-coherent. Among other results, we study the [math]-coherence of [math] when [math] is a retract algebra.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-25T08:42:10Z
DOI: 10.1142/S1793557118500778
- Authors: Farzad Shaveisi, Mostafa Amini
- A new method for option pricing via time-fractional PDE
- Authors: Elaheh Saberi, S. Reza Hejazi, Elham Dastranj
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, power options pricing is driven via time-fractional PDE when the dynamic of underlying asset price follows a regime switching model in which the risky underlying asset depends on a continuous-time hidden Markov chain process. An exact solution for power options pricing is driven under our considered model.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-19T06:31:28Z
DOI: 10.1142/S1793557118500742
- Authors: Elaheh Saberi, S. Reza Hejazi, Elham Dastranj
- Connected hop domination in graphs under some binary operations
- Authors: Yamilita M. Pabilona, Helen M. Rara
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a simple graph. A hop dominating set [math] is called a connected hop dominating set of [math] if the induced subgraph [math] of [math] is connected. The smallest cardinality of a connected hop dominating set of [math], denoted by [math], is called the connected hop domination number of [math]. In this paper, we characterize the connected hop dominating sets in the join, corona and lexicographic product of graphs and determine the corresponding connected hop domination number of these graphs. The study of these concepts is motivated with a social network application.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-19T06:31:28Z
DOI: 10.1142/S1793557118500754
- Authors: Yamilita M. Pabilona, Helen M. Rara
- Skew cyclic codes over [math]
- Authors: Mohammad Ashraf, Ghulam Mohammad
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study skew cyclic codes over the ring [math], where [math], [math], [math], [math] and [math] is a prime. We define a Gray map from [math] to [math] and investigate the structural properties of skew cyclic codes over [math] using decomposition method. It is shown that the Gray images of skew cyclic codes of length [math] over [math] are the skew [math]-quasi cyclic codes of length [math] over [math]. Finally, the idempotent generators of skew cyclic codes over [math] have also been discussed.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-17T02:39:22Z
DOI: 10.1142/S1793557118500729
- Authors: Mohammad Ashraf, Ghulam Mohammad
- Almost strongly Orlicz double sequence spaces of regular matrices and
their applications to statistical convergence- Authors: Kuldip Raj, Anu Choudhary, Charu Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce and study some strongly almost convergent double sequence spaces by Riesz mean associated with four-dimensional bounded regular matrix and a Musielak–Orlicz function over [math]-normed spaces. We make an effort to study some topological and algebraic properties of these sequence spaces. We also study some inclusion relations between the spaces. Finally, we establish some relation between weighted lacunary statistical sequence spaces and Riesz lacunary almost statistical convergent sequence spaces over [math]-normed spaces.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-07-17T02:39:22Z
DOI: 10.1142/S1793557118500730
- Authors: Kuldip Raj, Anu Choudhary, Charu Sharma
- On pointwise inner derivations of Lie algebras
- Authors: Azita Amiri, Farshid Saeedi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a Lie algebra and [math] and [math] be the set of all derivations and inner derivations of [math], respectively. A derivation [math] of a Lie algebra [math] is pointwise inner if [math] for all [math]. The set of all pointwise inner derivations of Lie algebra [math] denoted by [math] form a subalgebra of [math] containing [math]. In this paper, we prove that, if [math] is nilpotent of class [math] (solvable of length [math]), then [math] is nilpotent of class [math] (solvable of length [math] or [math]). We also prove that if [math] is nilpotent of class [math], then [math] is nilpotent of class at most [math], in which [math] and [math] is the [math]th term in the upper central series of [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-23T07:23:00Z
DOI: 10.1142/S1793557118500705
- Authors: Azita Amiri, Farshid Saeedi
- On cyclic and negacyclic codes of length [math] over finite field
- Authors: Saroj Rani
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be finite field with [math] elements, where [math] be power of an odd prime [math]. In this paper, we determine generator polynomials of all cyclic and negacyclic codes of length [math] over [math] where [math] are distinct odd primes and [math] are positive integers. We also determine all self-dual, self-orthogonal, complementary-dual cyclic and negacyclic codes of length [math] over [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-23T07:23:00Z
DOI: 10.1142/S1793557118500717
- Authors: Saroj Rani
- Injectivity in the category of GHS-acts
- Authors: Muhammad Shabir, Salma Shaheen, Kar Ping Shum
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
It is known that hypermonoid is closely related to GHS-acts. In this paper, we initiate the study of injective object in the category [math]ct-S and explore its properties. Besides other results, we prove that the category [math]ct-S has enough injective objects and every GHS-act has a minimal injective extension.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:08Z
DOI: 10.1142/S1793557118500651
- Authors: Muhammad Shabir, Salma Shaheen, Kar Ping Shum
- Semisimple semirings with respect to co-ideals theory
- Authors: Shahabaddin Ebrahimi Atani, Saboura Dolati Pishhesari, Mehdi Khoramdel
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concepts of semisimple semirings, Jacobson radical and socle of semirings based on their co-ideals and record some results involving them.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:08Z
DOI: 10.1142/S1793557118500699
- Authors: Shahabaddin Ebrahimi Atani, Saboura Dolati Pishhesari, Mehdi Khoramdel
- Localization of tetravalent modal algebras
- Authors: Aldo V. Figallo, Gustavo Pelaitay
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The main aim of this paper is to define the localization of a tetravalent modal algebra [math] with respect to a topology [math] on [math]. In Sec. 5, we prove that the tetravalent modal algebra of fractions relative to a ∧-closed system (defined in Definition 3.1) is a tetravalent modal algebra of localization.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:08Z
DOI: 10.1142/S1793557118500675
- Authors: Aldo V. Figallo, Gustavo Pelaitay
- Further results on the distance signless Laplacian spectrum of graphs
- Authors: Abdollah Alhevaz, Maryam Baghipur, Ebrahim Hashemi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The distance signless Laplacian matrix [math] of a connected graph [math] is defined as [math], where [math] is the distance matrix of [math] and [math] is the diagonal matrix whose main entries are the vertex transmissions of [math], and the spectral radius of a connected graph [math] is the largest eigenvalue of [math]. In this paper, first we obtain the [math]-eigenvalues of the join of certain regular graphs. Next, we give some new bounds on the distance signless Laplacian spectral radius of a graph [math] in terms of graph parameters and characterize the extremal graphs. Utilizing these results we present some upper and lower bounds on the distance signless Laplacian energy of a graph [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:07Z
DOI: 10.1142/S1793557118500663
- Authors: Abdollah Alhevaz, Maryam Baghipur, Ebrahim Hashemi
- Algebra cone generalized [math]-metric space over banach algebra and fixed
point theorems of generalized lipschitz mappings- Authors: Aziz Ahmed, J. N. Salunke
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of algebra cone generalized [math]-metric space over Banach algebra by replacing the constant [math] with [math] where [math] is the spectral radius of [math], with this modification we shall prove Banach and kannan fixed point results for contractive generalized Lipschitz mappings in such a space. Moreover, we present one example in support of our results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-16T08:46:06Z
DOI: 10.1142/S1793557118500687
- Authors: Aziz Ahmed, J. N. Salunke
- Camina Lie algebras
- Authors: S. Sheikh-Mohseni, F. Saeedi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a Lie algebra and [math] be a proper ideal of [math]. Then [math] is called a Camina pair if [math] for all [math]. Also, [math] is called a Camina Lie algebra if [math] is a Camina pair. In this paper, we give some properties of Camina Lie algebras. Moreover, we show that a nilpotent Camina Lie algebra of finite dimension over an algebraically closed field is nilpotent with nilindex at most [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-13T09:37:14Z
DOI: 10.1142/S1793557118500638
- Authors: S. Sheikh-Mohseni, F. Saeedi
- Tetracyclic graphs with maximum second Zagreb index: A simple approach
- Authors: Akbar Ali
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the chemical graph theory, graph invariants are usually referred to as topological indices. The second Zagreb index (denoted by [math]) is one of the most studied topological indices. For [math], let [math] be the collection of all non-isomorphic connected graphs with [math] vertices and [math] edges (such graphs are known as tetracyclic graphs). Recently, Habibi et al. [Extremal tetracyclic graphs with respect to the first and second Zagreb indices, Trans. on Combin. 5(4) (2016) 35–55.] characterized the graph having maximum [math] value among all members of the collection [math]. In this short note, an alternative but relatively simple approach is used for characterizing the aforementioned graph.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-06-13T09:37:13Z
DOI: 10.1142/S179355711850064X
- Authors: Akbar Ali
- Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces
via Pachpatte’s Inequality- Authors: Kishor D. Kucche, Pallavi U. Shikhare
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, Pachpatte’s inequality is employed to discuss the Ulam–Hyers stabilities for Volterra integrodifferential equations and Volterra delay integrodifferential equations in Banach spaces on both finite and infinite intervals. Examples are given to show the applicability of our obtained results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-29T09:22:37Z
DOI: 10.1142/S1793557118500626
- Authors: Kishor D. Kucche, Pallavi U. Shikhare
- Harmonic curvatures of the strip in Minkowski space
- Authors: Filiz Ertem Kaya, Ayşe Yavuz
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This study aimed to give definitions and relations between strip theory and harmonic curvatures of the strip in Minkowski space. Previously, the same was done in Euclidean Space (see [F. Ertem Kaya, Y. Yayli and H. H. Hacısalihoglu, A characterization of cylindrical helix strip, Commun. Fac. Sci. Univ. Ank. Ser. A1 59(2) (2010) 37–51]). The present paper gives for the first time a generic characterization of the harmonic curvatures of the strip, helix strip and inclined strip in Minkowski space.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-26T08:07:14Z
DOI: 10.1142/S1793557118500614
- Authors: Filiz Ertem Kaya, Ayşe Yavuz
- Generalization of cyclic refinements of Jensen inequality by montgomery
identity and Green’s function- Authors: Nasir Mehmood, Saad Ihsan Butt, Josip Pečarić
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We consider discrete and continuous cyclic refinements of Jensen’s inequality and generalize them from convex function to higher order convex function by means of Lagrange Green’s function and Montgomery identity. We give application of our results by formulating the monotonicity of the linear functionals obtained from generalized identities utilizing the theory of inequalities for [math]-convex functions at a point. We compute Grüss and Ostrowski type bounds for generalized identities associated with the obtained inequalities. Finally, we investigate the properties of linear functionals regarding exponential convexity log convexity and mean value theorems.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-26T08:07:13Z
DOI: 10.1142/S1793557118500602
- Authors: Nasir Mehmood, Saad Ihsan Butt, Josip Pečarić
- On the endomorphism monoids of Clifford semigroups
- Authors: Somnuek Worawiset
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study properties of the endomorphism monoids of strong semilattices of groups. In Sec. [2], several properties for endomorphism monoids of finite semilattices are investigated. In Sec. [3], we collect some results on endomorphism monoids of strong semilattices of groups, i.e. Clifford semigroups.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-24T06:32:49Z
DOI: 10.1142/S1793557118500596
- Authors: Somnuek Worawiset
- Cohomology of [math] acting on the space of superpseudodifferential
operators on the supercircle [math]- Authors: Hafedh Khalfoun, Nizar Ben Fraj, Meher Abdaoui
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We investigate the first differential cohomology space associated with the embedding of the affine Lie superalgebra [math] on the [math]-dimensional supercircle [math] in the Lie superalgebra [math] of superpseudodifferential operators with smooth coefficients, where [math]. Following Ovsienko and Roger, we give explicit expressions of the basis cocycles. We study the deformations of the structure of the [math]-module [math]. We prove that any formal deformation is equivalent to its infinitesimal part.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-24T06:32:49Z
DOI: 10.1142/S1793557118500572
- Authors: Hafedh Khalfoun, Nizar Ben Fraj, Meher Abdaoui
- The essential ideal graph of a commutative ring
- Authors: J. Amjadi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a commutative ring with identity. The essential ideal graph of [math], denoted by [math], is a graph whose vertex set is the set of all nonzero proper ideals of [math] and two vertices [math] and [math] are adjacent whenever [math] is an essential ideal. In this paper, we initiate the study of the essential ideal graph of a commutative ring and we investigate its properties.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-24T06:32:48Z
DOI: 10.1142/S1793557118500584
- Authors: J. Amjadi
- Solution of certain Pell equations
- Authors: Zahid Raza, Hafsa Masood Malik
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be any positive integers such that [math] and [math] is a square free positive integer of the form [math] where [math] and [math] The main focus of this paper is to find the fundamental solution of the equation [math] with the help of the continued fraction of [math] We also obtain all the positive solutions of the equations [math] and [math] by means of the Fibonacci and Lucas sequences. Furthermore, in this work, we derive some algebraic relations on the Pell form [math] including cycle, proper cycle, reduction and proper automorphism of it. We also determine the integer solutions of the Pell equation [math] in terms of [math] We extend all the results of the papers [3, 10, 27, 37].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-17T02:36:01Z
DOI: 10.1142/S1793557118500560
- Authors: Zahid Raza, Hafsa Masood Malik
- Engel type identities with generalized derivations in prime rings
- Authors: Basudeb Dhara, Krishna Gopal Pradhan, Shailesh Kumar Tiwari
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a noncommutative prime ring with its Utumi ring of quotients [math], [math] the extended centroid of [math], [math] a generalized derivation of [math] and [math] a nonzero ideal of [math]. If [math] satisfies any one of the following conditions: (i)[math], [math], [math], (ii)[math], where [math] is a fixed integer, then one of the following holds: (1)there exists [math] such that [math] for all [math]; (2)[math] satisfies [math] and there exist [math] and [math] such that [math] for all [math]; (3)char [math], [math] satisfies [math] and there exist [math] and an outer derivation [math] of [math] such that [math] for all [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:16Z
DOI: 10.1142/S1793557118500559
- Authors: Basudeb Dhara, Krishna Gopal Pradhan, Shailesh Kumar Tiwari
- Difference analogues of the second main theorem of zero-order meromorphic
mappings for slowly moving targets- Authors: Pham Duc Thoan
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we show some Second Main Theorems for zero-order meromorphic mappings intersecting slowly moving targets in [math] by considering their [math]-Casorati determinant. Our results are [math]-difference analogues of Cartan’s Second Main Theorem for moving targets. As an application, we give an unicity theorem for meromorphic mappings of [math] into [math] under the growth condition “order [math]”.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:16Z
DOI: 10.1142/S1793557118500535
- Authors: Pham Duc Thoan
- Bounds related to projective equivalence classes of good filtrations
- Authors: Abdoulaye Assane, Damase Kamano, Eric Dago Akeke
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a regular ideal in noetherian ring [math]. Mc Adam and Ratliff showed the existence of the unique minimal reduction number of [math], noted [math], such that for every minimal reduction [math] of [math], [math] and [math]. They showed that the set of integers [math] is bounded in terms of the analytic spread of [math]. Here, we extend these results to good filtrations. Let [math] be a good filtration on [math], we show that the set of integers [math] is bounded.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:15Z
DOI: 10.1142/S1793557118500523
- Authors: Abdoulaye Assane, Damase Kamano, Eric Dago Akeke
- On chaos for iterated function systems
- Authors: Alireza Zamani Bahabadi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper is devoted to study some chaotic properties of iterated function systems (IFSs). Specially, a new notion named thick chaotic IFSs is introduced. The relationship between thick chaos and another properties of some notions in dynamical systems are studied.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-16T07:13:15Z
DOI: 10.1142/S1793557118500547
- Authors: Alireza Zamani Bahabadi
- Multiplicative [math]-derivation in alternative algebras
- Authors: M. V. L. Bharathi, K. Jayalakshmi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Every multiplicative [math]-derivation of an alternative algebra [math] is additive if there exits an idempotent [math] in [math] satisfying the following conditions: (i) [math] implies [math]; (ii) [math] implies [math]; (iii) [math] implies [math] for [math]. In particular, every [math]-derivation of a prime alternative algebra with a nontrivial idempotent is additive. This generalizes the known result obtained by Rodrigues, Guzzo and Ferreira for [math]-derivations. As an application, we apply multiplicative [math]-derivation to an alternative complex algebra [math] of all [math] complex matrices to see how it decomposes into a sum of [math]-inner derivation and a [math]-derivation on [math] given by an additive derivation [math] on [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-08T04:14:55Z
DOI: 10.1142/S1793557118500511
- Authors: M. V. L. Bharathi, K. Jayalakshmi
- On [math]-derivations of Filippov algebras
- Authors: F. Saeedi, S. Sheikh-Mohseni
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a Filippov algebra. A derivation of [math] is called an [math]-derivation if its image is contained in the derived algebra of [math]. Let [math] be the set of all [math]-derivations which map central elements to [math]. We prove that [math] and [math] are isomorphic for any two isoclinic Filippov algebras [math] and [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-02T09:17:10Z
DOI: 10.1142/S179355711850050X
- Authors: F. Saeedi, S. Sheikh-Mohseni
- Exhaustion 2-subsets in dihedral groups of order [math]
- Authors: Denis Wong Chee Keong, Kuan Wai Wong, Wun-She Yap
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be the dihedral group of order [math], where [math] is an odd prime. A nonempty subset [math] of [math] is said to be exhaustive if there exists a positive integer [math] such that [math] covers all elements in [math]. The smallest such [math] is called the exhaustion number of [math]. In general, finding [math] for an arbitrary subset [math] of [math] is an interesting but difficult task. In this paper, we classify all possible exhaustion 2-subsets in [math] by considering a 2-subset [math] of [math] with either [math] or [math] and [math]. Some explicit formulas for [math] are identified and hence some bounds are derived to prove the existence for certain families of exhaustive sets.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-02T09:16:56Z
DOI: 10.1142/S179355711850047X
- Authors: Denis Wong Chee Keong, Kuan Wai Wong, Wun-She Yap
- A generalized superposition of linear tree languages and products of
linear tree languages- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A linear tree language of type [math] is a set of linear terms, terms containing no multiple occurrences of the same variable, of that type. Instead of the usual generalized superposition of tree languages, we define the generalized linear superposition to deal with linear tree languages and study its properties. Using this superposition, we define the product of linear tree languages. This product is not associative on the collection of all linear tree languages, but it is associative on some subsets of this collection whose products of any element in the subsets are nonempty. We classify such subsets and study properties of the obtained semigroup especially idempotent elements, regular elements, and Green’s relations [math] and [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-02T09:16:44Z
DOI: 10.1142/S1793557118500481
- Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
- Some integral identities for products of Airy functions using integral
transforms- Authors: Alireza Ansari, Mohammad Rasool Masomi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, using the integral identities of Bessel functions, we obtain new integral identities for the products of Airy functions. We get various integrals involving the Widder potential, the Fourier sine and cosine transforms of the products of Airy functions in terms of some special functions.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-28T08:52:13Z
DOI: 10.1142/S1793557118500468
- Authors: Alireza Ansari, Mohammad Rasool Masomi
- On the matrices with the generalized hyperharmonic numbers of order [math]
- Authors: Neşe Ömür, Sibel Koparal
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we define two [math] matrices [math] and [math] with [math] and [math] respectively, where [math] are a generalized hyperharmonic numbers of order [math]. We give some new factorizations and determinants of the matrices [math] and [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-25T10:14:19Z
DOI: 10.1142/S1793557118500456
- Authors: Neşe Ömür, Sibel Koparal
- Complex symmetric operators and semiclassical resonances
- Authors: Bekkai Messirdi, Sofiane Messirdi, Miloud Messirdi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Unbounded complex symmetric operators on Hilbert space are discussed and various spectral results on these operators are presented in this paper. In addition, we show that the technique of complex scaling allows one to identify the quantum resonances of complex self-adjoint Schrödinger Hamiltonians.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-25T10:14:17Z
DOI: 10.1142/S1793557118500444
- Authors: Bekkai Messirdi, Sofiane Messirdi, Miloud Messirdi
- Boundedness of composition operators between weighted Bergman spaces
- Authors: Elke Wolf
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper contained mathematical errors and its publication has been retracted from AEJM.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-21T03:41:31Z
DOI: 10.1142/S1793557118500420
- Authors: Elke Wolf
- On analogues of Baer’s theorems for widely supersoluble hypercenter
of finite groups- Authors: Viachaslau I. Murashka
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, the widely supersoluble hypercenter of finite groups was studied and a new criterion of widely supersolubility of finite groups was obtained.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-21T03:41:31Z
DOI: 10.1142/S1793557118500432
- Authors: Viachaslau I. Murashka
- A note on two-variable Lommel matrix functions
- Authors: Ayman Shehata
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The aim of the present work is to develop a pair of Lommel matrix functions of two variables suggested by the Bessel matrix functions and some of their properties are studied to be special cases of our results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-19T09:35:14Z
DOI: 10.1142/S1793557118500419
- Authors: Ayman Shehata
- Counter examples to a conjecture concerning harmonic index
- Authors: Akbar Ali
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
A recently proposed conjecture by Cheng and Wang [A lower bound for the harmonic index of a graph with minimum degree at least three, Filomat 30(8) (2016) 2249–2260] about the harmonic index is disproved.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:45Z
DOI: 10.1142/S1793557118500353
- Authors: Akbar Ali
- A reductive case on derivations in Vinberg [math] rings[math]
- Authors: G. Lakshmi Devi, K. Jayalakshmi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we describe the reductive pair [math] with fixed decomposition [math] and construct a reductive Vinberg [math] ring relative to [math] which is based on the construction of nonassociative algebras with specified simple Lie algebra [math] of derivations. As a special case, we construct a class of Vinberg [math] algebras ([math], [math] of dimension 8 with [math] [math] and determine its associated reductive Lie algebra [math] = [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:45Z
DOI: 10.1142/S1793557118500377
- Authors: G. Lakshmi Devi, K. Jayalakshmi
- Symmetry analysis and some new exact solutions of some nonlinear KdV-like
equations- Authors: A. H. Abdel Kader, M. S. Abdel Latif, F. El Bialy, A. Elsaid
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we obtained some new exact solutions of some nonlinear KdV-like equations using Lie point symmetry and [math]-symmetry methods. The obtained solutions are in the form of doubly periodic, bright and dark soliton solutions.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:44Z
DOI: 10.1142/S1793557118500407
- Authors: A. H. Abdel Kader, M. S. Abdel Latif, F. El Bialy, A. Elsaid
- Modular group algebras of Lie nilpotency index [math]
- Authors: Meena Sahai, Bhagwat Sharan
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
For a group algebra [math] of a group [math] over a field [math] of characteristic [math], it is well known that [math] is the minimal upper as well as the minimal lower Lie nilpotency index. Group algebras of upper Lie nilpotency index upto [math] have already been characterized completely. In this paper, we classify the modular group algebra [math] having upper Lie nilpotency index [math] which is the possible next higher Lie nilpotency index.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:44Z
DOI: 10.1142/S1793557118500390
- Authors: Meena Sahai, Bhagwat Sharan
- Functional equations with division and regular operations
- Authors: Sergey Davidov, Aleksandar Krapež, Yuri Movsisyan
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Functional equations are equations in which the unknown (or unknowns) are functions. We consider equations of generalized associativity, mediality (bisymmetry, entropy), paramediality, transitivity as well as the generalized Kolmogoroff equation. Their usefulness was proved in applications both in mathematics and in other disciplines, particularly in economics and social sciences (see J. Aczél, On mean values, Bull. Amer. Math. Soc. 54 (1948) 392–400; J. Aczél, Remarques algebriques sur la solution donner par M. Frechet a l’equation de Kolmogoroff, Pupl. Math. Debrecen 4 (1955) 33–42; J. Aczél, A Short Course on Functional Equations Based Upon Recent Applications to the Social and Behavioral Sciences, Theory and decision library, Series B: Mathematical and statistical methods (D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1987); J. Aczél, Lectures on Functional Equations and Their Applications (Supplemented by the author, ed. H. Oser) (Dover Publications, Mineola, New York, 2006); J. Aczél, V. D. Belousov and M. Hosszu, Generalized associativity and bisymmetry on quasigroups, Acta Math. Acad. Sci. Hungar. 11 (1960) 127–136; J. Aczél and J. Dhombres, Functional Equations in Several Variables (Cambridge University Press, New York, 1991); J. Aczél and T. L. Saaty, Procedures for synthesizing ratio judgements, J. Math. Psych. 27(1) (1983) 93–102). We use unifying approach to solve these equations for division and regular operations generalizing the classical quasigroup case.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:44Z
DOI: 10.1142/S179355711850033X
- Authors: Sergey Davidov, Aleksandar Krapež, Yuri Movsisyan
- Twin signed total Roman domination numbers in digraphs
- Authors: J. Amjadi, M. Soroudi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a finite simple digraph with vertex set [math] and arc set [math]. A twin signed total Roman dominating function (TSTRDF) on the digraph [math] is a function [math] satisfying the conditions that (i) [math] and [math] for each [math], where [math] (respectively [math]) consists of all in-neighbors (respectively out-neighbors) of [math], and (ii) every vertex [math] for which [math] has an in-neighbor [math] and an out-neighbor [math] with [math]. The weight of an TSTRDF [math] is [math]. The twin signed total Roman domination number [math] of [math] is the minimum weight of an TSTRDF on [math]. In this paper, we initiate the study of twin signed total Roman domination in digraphs and we present some sharp bounds on [math]. In addition, we determine the twin signed Roman domination number of some classes of digraphs.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:43Z
DOI: 10.1142/S1793557118500341
- Authors: J. Amjadi, M. Soroudi
- Controllability and observability of LTV systems -bond graph approach-
- Authors: Abderrahim Frih, Zakaria Chalh, Mostafa Mrabti
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, a new methodology is proposed to determinate the controllability and the observability matrices of linear time varying systems modeled by bond graph. As the bond graph model can be viewed as a state space representation and as a module (algebraic approach), the determination of controllability and observability matrices is presented with the graphical approach. The equivalence between the two approaches (Graphic, Mathematical) is proposed and a graphical methodology is pointed out directly on the bond graph representation.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:43Z
DOI: 10.1142/S1793557118500389
- Authors: Abderrahim Frih, Zakaria Chalh, Mostafa Mrabti
- Existence and uniqueness theorem for set-valued Volterra–Hammerstein
integral equations- Authors: Andrej V. Plotnikov, Tatyana A. Komleva, Irina V. Molchanyuk
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we consider two types of set-valued Volterra–Hammerstein integral equations and prove the existence and uniqueness theorem.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-17T10:59:43Z
DOI: 10.1142/S1793557118500365
- Authors: Andrej V. Plotnikov, Tatyana A. Komleva, Irina V. Molchanyuk
- On primitive normal elements over finite fields
- Authors: Anju, R. K. Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be an extension of the field [math] of degree [math] where [math] for some positive integer [math] and prime [math] In this paper, we establish a sufficient condition for the existence of a primitive element [math] such that [math] is also primitive as well as a primitive normal element [math] of [math] over [math] such that [math] is primitive.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:32Z
DOI: 10.1142/S1793557118500316
- Authors: Anju, R. K. Sharma
- Hom-left symmetric algebroids
- Authors: E. Peyghan, L. Nourmohammadifar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we describe the construction of connections on hom-bundles and the pseudo-Riemannian structure on hom-Lie algebroids from an algebraic point of view. We study the representations of hom-Lie algebroids. We introduce the notion of a hom-left symmetric algebroid as a geometric generalization of a hom-left symmetric algebra. In addition using [math]-operators, we construct some classes of hom-left symmetric algebroids. We show that there exists a phase space on a hom-left symmetric algebroid. Also, we prove that using phase spaces, we can construct hom-left symmetric algebroids.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:31Z
DOI: 10.1142/S1793557118500274
- Authors: E. Peyghan, L. Nourmohammadifar
- The [math] [math]-cauchy problem on pseudoconvex domains and applications
- Authors: Sayed Saber
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a complex manifold of dimension [math] and [math] be a weakly pseudoconvex domain with smooth boundary in [math]. Let [math] be a holomorphic line bundle over [math] which is positive on a neighborhood of [math]. Let [math] be the [math]-times tensor product of [math] for positive integer [math]. The purpose of this paper is to study the [math]-problem with support conditions in [math] for forms of type [math], [math] with values in [math]. Applications to the [math]-problem for smooth forms on boundaries of [math] are given.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:31Z
DOI: 10.1142/S1793557118500250
- Authors: Sayed Saber
- On semi-projective modules and their endomorphism rings
- Authors: Manoj Kumar Patel, Varun Kumar, A. J. Gupta
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper provides the several homological characterization of perfect rings and semi-simple rings in terms of semi-projective modules. We investigate whether Hopkins–Levitzki Theorem extend to semi-projective module i.e. whether there exists an artinian semi-projective module which are noetherian. Unfortunately, the answer we have is negative; counter example is given. However, it is shown that the answer is positive for certain large classes of semi-projective modules in Proposition 2.26. We have discussed the summand intersection property, summand sum property for semi-projective modules. Apart from this, we have introduced the idea of [math]-hollow modules, also several necessary and sufficient conditions are established when the endomorphism rings of a semi-projective modules is a local ring.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:31Z
DOI: 10.1142/S1793557118500298
- Authors: Manoj Kumar Patel, Varun Kumar, A. J. Gupta
- Residuated relational systems
- Authors: Stefano Bonzio, Ivan Chajda
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The aim of the present paper is to generalize the concept of residuated poset, by replacing the usual partial ordering by a generic binary relation, giving rise to relational systems which are residuated. In particular, we modify the definition of adjointness in such a way that the ordering relation can be harmlessly replaced by a binary relation. By enriching such binary relation with additional properties, we get interesting properties of residuated relational systems which are analogical to those of residuated posets and lattices.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:30Z
DOI: 10.1142/S1793557118500249
- Authors: Stefano Bonzio, Ivan Chajda
- An alternative but short proof of a result of Zhu and Lu concerning
general sum-connectivity index- Authors: Akbar Ali
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Recently, Zhu and Lu, [On the general sum-connectivity index of tricyclic graphs, J. Appl. Math. Comput. 51(1) (2016) 177–188] determined the graphs having maximum general sum-connectivity index among all [math]-vertex tricyclic graphs. In this short note, an alternative but considerable short approach is proposed for determining the aforementioned graphs.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:30Z
DOI: 10.1142/S1793557118500304
- Authors: Akbar Ali
- On generalizations of certain nonlinear integral inequalities and their
applications- Authors: S. G. Latpate
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The aim of this paper is to generalize some integral inequalities of Gronwall–Bellman type. We generalize the results presented by Pachpatte in [Inequalities for Differential and Integral Equations (Academic Press, New York, 1998)] and Abdeldaim in [On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation, J. Egypt. Math. Sci. Lett. 23 (2015) 470–475] and also establish some new forms.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:29Z
DOI: 10.1142/S1793557118500328
- Authors: S. G. Latpate
- New kind of special matrix functions and generating functions
- Authors: Ahmed Ali Al-Gonah, Fatima Mohammed Al-Samadi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, a new kind of special matrix functions is introduced and some properties of these special matrix function are established. Further, some generating functions for the 3-variable Hermite matrix-based Laguerre polynomials involving the special matrix function are derived by using operational methods.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:29Z
DOI: 10.1142/S1793557118500286
- Authors: Ahmed Ali Al-Gonah, Fatima Mohammed Al-Samadi
- Gray images of [math]-constacyclic codes over the ring [math]
- Authors: Pramod Kumar Kewat, Sarika Kushwaha
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math], where [math], [math], [math] is a prime and [math] is a positive integer. We define a gray map from a linear code of length [math] over the ring [math] to a linear code of length [math] over the field [math]. In this paper, we characterize the gray images of [math]-constacyclic codes of an arbitrary length over the ring [math] in terms of quasicyclic codes over [math]. We obtain some optimal linear codes over [math] as gray images.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-04-11T11:49:28Z
DOI: 10.1142/S1793557118500262
- Authors: Pramod Kumar Kewat, Sarika Kushwaha
- A generalization of commuting probability of finite rings
- Authors: Parama Dutta, Rajat Kanti Nath
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The aim of this paper is to study the probability that the commutator of an arbitrarily chosen pair of elements, each from two different additive subgroups of a finite non-commutative ring equals a given element of that ring. We obtain several results on this probability including a computing formula, some bounds and characterizations.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-21T06:59:13Z
DOI: 10.1142/S1793557118500237
- Authors: Parama Dutta, Rajat Kanti Nath
- A characterization of an isomorphism
- Authors: Ali Taghavi, Roja Hosseinzadeh, Efat Nasrollahi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] and [math] be some standard operator algebras on complex Banach spaces [math] and [math], respectively, and [math] be a polynomial with no repeated roots and [math], such that [math]. We characterize the forms of surjective linear maps [math] which preserve the nonzero products of operators that annihilated by [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-21T06:59:12Z
DOI: 10.1142/S1793557118500225
- Authors: Ali Taghavi, Roja Hosseinzadeh, Efat Nasrollahi
- A characterization of Jordan and 5-Jordan homomorphisms between Banach
algebras- Authors: A. Zivari-Kazempour
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We prove that each surjective Jordan homomorphism from a Banach algebra [math] onto a semiprime commutative Banach algebra [math] is a homomorphism, and each 5-Jordan homomorphism from a unital Banach algebra [math] into a semisimple commutative Banach algebra [math] is a 5-homomorphism.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-16T11:28:03Z
DOI: 10.1142/S1793557118500213
- Authors: A. Zivari-Kazempour
- Bass numbers of generalized local cohomology modules with respect to a
pair of ideals- Authors: M. Lotfi Parsa
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a Noetherian local ring, [math] and [math] are ideals of [math], and [math] and [math] are [math]-modules. We study the relationship between the Bass numbers of [math] and [math]. As a consequence, it follows that if one of the following holds: (a)[math] is a principal ideal of [math], (b)[math], (c)[math] (when [math] is local and [math] is finitely generated), (d)[math] (when [math] is local), (e)[math] (when [math] is local), then [math] is finite for all [math] and [math], whenever [math] is finitely generated and flat, [math] is minimax, and [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-16T11:28:02Z
DOI: 10.1142/S1793557118500195
- Authors: M. Lotfi Parsa
- Nonlinearity of [math]-cycle permutations on [math]
- Authors: Yogesh Kumar, P. R. Mishra, R. K. Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we explore the existence and nonlinearity of affine [math]-cycle permutations on [math] for different values of [math] and [math]. It is proved that a transposition [math] on [math] has nonlinearity [math] for [math], a [math]-cycle permutation on [math] has nonlinearity [math] for [math], [math] a prime. The number of affine [math]-cycle permutations on [math] and a bound for their nonlinearity have been obtained. Some results on the cyclic decomposition of a permutation on [math], [math] a prime, have also been proved.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-16T11:28:01Z
DOI: 10.1142/S1793557118500201
- Authors: Yogesh Kumar, P. R. Mishra, R. K. Sharma
- On generalized subnormal subgroups of finite metanilpotent groups
- Authors: I. N. Khalimonchik
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, the description of hereditary saturated lattice formations and lattice subgroup functors in the class of all finite metanilpotent groups was found.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-02T09:45:32Z
DOI: 10.1142/S1793557118500183
- Authors: I. N. Khalimonchik
- [math]-derivations of BL-algebras
- Authors: S. Alsatayhi, A. Moussavi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, the notions of derivations of types 1 and 2 on a BL-algebra [math] are introduced. We extend the notions of these derivations by introducing the notions of [math]-derivations of types 1 and 2, and discuss some related properties. The conditions for [math]-derivations of types 1 and 2 to be isotone are provided. The set [math] is defined and conditions for [math] to be a down closed set and an ideal on [math] are given where [math] is a Boolean algebra and [math] is a [math]-derivation of type 1 on [math]. Finally, the relationship between [math]-derivations of types 1 and 2 for a Boolean algebra [math] is determined.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-02T09:39:29Z
DOI: 10.1142/S179355711850016X
- Authors: S. Alsatayhi, A. Moussavi
- Base points, bases and positive definite forms
- Authors: Ahmet Tekcan, Seyma Kutlu
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this work, we deduce some algebraic relations on base points [math] of positive definite forms [math] and [math]-basis of [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-02T09:39:09Z
DOI: 10.1142/S1793557118500171
- Authors: Ahmet Tekcan, Seyma Kutlu
- Favard’s inequality for pseudo-integral
- Authors: Bayaz Daraby, Hassan Ghazanfary Asll, Ildar Sadeqi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The purpose of this paper is to generalize Favard’s inequality for pseudo-integral. We consider two cases for the real semiring [math], when pseudo-operations are defined by a continuous and monotone function and when the pseudo-addition is sup operation and the pseudo-multiplication is generated by a continuous and monotone function.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-02T09:38:30Z
DOI: 10.1142/S1793557118500158
- Authors: Bayaz Daraby, Hassan Ghazanfary Asll, Ildar Sadeqi
- Morita invariants of semirings-II
- Authors: Sugato Gupta, Sujit Kumar Sardar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The purpose of this paper is to investigate the counterparts of most of our results on Morita invariants of semirings for semimodules. Among others, we obtain the lattice isomorphisms between the set of all ideals and set of all subsemimodules corresponding to a Morita context of semirings. Also, the preservation of congruences between a semiring and a semimodule corresponding to a Morita context of semirings is established.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-02T09:37:21Z
DOI: 10.1142/S1793557118500146
- Authors: Sugato Gupta, Sujit Kumar Sardar
- Geometric properties of the differential shift plus complex Volterra
operator- Authors: Rabha W. Ibrahim
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we define a new integral operator in the open unit disk. This operator is considered as a complex Volterra operator. Moreover, we define a new subspace of Hardy space involving the normalized analytic functions. We shall show that the new integral operator is closed in the subspace of normalized functions. Geometric characterizations are established in the sequel. Our display is maintained by the Jack Lemma.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-02T09:36:51Z
DOI: 10.1142/S1793557118500134
- Authors: Rabha W. Ibrahim
- On quantum codes obtained from cyclic codes over [math]
- Authors: Abhay Kumar Singh, Sukhamoy Pattanayak, Pratyush Kumar, Kar Ping Shum
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the paper, we consider a finite non-chain commutative ring [math], where [math]. We mainly study the construction of quantum codes from cyclic codes over [math]. For this, we obtained self-orthogonal codes over [math] as gray images of linear and cyclic codes over [math], then these codes over [math] correspond to a cyclic code over [math] of odd length [math] used to determine the parameters of the quantum codes.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-17T08:27:27Z
DOI: 10.1142/S1793557118500092
- Authors: Abhay Kumar Singh, Sukhamoy Pattanayak, Pratyush Kumar, Kar Ping Shum
- Fixed point results for generalized [math]-Suzuki-contractions in
quasi-[math]-metric-like spaces- Authors: Hojjat Afshari, Sabileh Kalantari, Hassen Aydi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of generalized [math]-Suzuki-contractions in the context of quasi [math]-metric-like spaces and we establish some related fixed point theorems. As consequences, we obtain some known fixed point results in the literature. Some concrete examples are also provided illustrating the obtained results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-17T08:27:26Z
DOI: 10.1142/S1793557118500122
- Authors: Hojjat Afshari, Sabileh Kalantari, Hassen Aydi
- Some regular generalized star [math]-separation axiom in bigeneralized
topological spaces- Authors: Josephine Josol Baculta, Helen Moso Rara
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The purpose of this paper is to introduce and investigate some [math] separation axioms in bigeneralized topological spaces. Using the concepts of regular generalized star b-open sets due to Indirani and Sindhu, the study defines and characterizes [math]-[math], [math]-[math], [math]-regular and [math]-normal spaces.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-17T08:27:26Z
DOI: 10.1142/S1793557118500109
- Authors: Josephine Josol Baculta, Helen Moso Rara
- Existence and convergence theorems for best proximity points
- Authors: M. R. Haddadi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we give new conditions for existence and uniqueness of best proximity point. Also, we introduce the concept of cyclic contraction and nonexpansive for multivalued map and we give existence and convergence theorems for best proximity point in the complete metric space.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-10T06:06:59Z
DOI: 10.1142/S1793557118500055
- Authors: M. R. Haddadi
- On robust stability for uncertain neutral systems with non-differentiable
interval time-varying discrete delay and nonlinear perturbations- Authors: Peerapongpat Singkibud, Kanit Mukdasai
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we investigate the problem of delay-range-dependent robust stability analysis for uncertain neutral systems with interval time-varying delays and nonlinear perturbations. The restriction on the derivative of the discrete interval time-varying delay is removed. By applying the augmented Lyapunov–Krasovskii functional approach, new improved integral inequalities, descriptor model transformation, Leibniz–Newton formula and utilization of zero equation, new delay-range-dependent robust stability criteria are derived in terms of linear matrix inequalities (LMIs) for the considered systems. Numerical examples have shown to illustrate the significant improvement on the conservatism of the delay upper bound over some reported results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-10T06:06:59Z
DOI: 10.1142/S1793557118500079
- Authors: Peerapongpat Singkibud, Kanit Mukdasai
- Some inequalities for trace class operators via a Kato’s result
- Authors: S. S. Dragomir
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
By the use of the celebrated Kato’s inequality, we obtain in this paper some new inequalities for trace class operators on a complex Hilbert space [math] Natural applications for functions defined by power series of normal operators are given as well.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-10T06:06:58Z
DOI: 10.1142/S1793557118500043
- Authors: S. S. Dragomir
- Certain homogeneous paracontact three-dimensional Lorentzian metrics
- Authors: Ali Haji-Badali, Elham Sourchi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study three-dimensional homogeneous paracontact metric manifolds for which the Reeb vector field of the underlying paracontact structure satisfies a nullity condition. We give example of paraSasakian and non-paraSasakian [math]-manifolds. Finally, we exhibit explicit example of [math]-Einstein manifolds.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-10T06:06:57Z
DOI: 10.1142/S1793557118500067
- Authors: Ali Haji-Badali, Elham Sourchi
- N-Legendre and N-slant curves in the unit tangent bundle of Minkowski
surfaces- Authors: Murat Bekar, Fouzi Hathout, Yusuf Yayli
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a unit tangent bundle of Minkowski surface [math] endowed with the pseudo-Riemannian induced Sasaki metric. In this present paper, we studied the N-Legendre and N-slant curves in which the inner product of its normal vector and Reeb vector is zero and nonzero constant, respectively, in [math] and several important characterizations of these curves are given.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-02-10T06:06:56Z
DOI: 10.1142/S1793557118500080
- Authors: Murat Bekar, Fouzi Hathout, Yusuf Yayli
- Nonlinear preservers of group invertible operators
- Authors: M. Oudghiri, K. Souilah
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be the algebra of all bounded linear operators on an infinite-dimensional complex or real Banach space [math]. We prove that a bijective bicontinuous map [math] on [math] preserves the difference of group invertible operators in both directions if and only if [math] is either of the form [math] or of the form [math], where [math] is a nonzero scalar, [math] and [math] are two bounded invertible linear or conjugate linear operators.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-26T08:43:24Z
DOI: 10.1142/S179355711850002X
- Authors: M. Oudghiri, K. Souilah
- On Tarski algebras with a finite set of free generators
- Authors: Aldo V. Figallo
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we describe a method to determine the structure of the Tarski algebra with a finite set of free generators which is different to that given by Iturrioz and Monteiro in [Les algèbres de Tarski avec un nombre fini de générateurs libres, in Informe Técnico, Vol. 37 (Instituto de Matemática de la Universidad Nacional del Sur, Bahía Blanca, 1994)].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-26T08:43:23Z
DOI: 10.1142/S1793557118500031
- Authors: Aldo V. Figallo
- On the reduced second Zagreb index of trees
- Authors: Saba Shafique, Akbar Ali
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The current note is devoted to investigate the trees, which maximize or minimize the reduced second Zagreb index among all [math]-vertex trees with fixed number of segments. This note also involves development of some results, which may be used to characterize the extremal trees with respect to the aforementioned index among all [math]-vertex trees having fixed number of branching vertices.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-26T08:43:22Z
DOI: 10.1142/S179355711750084X
- Authors: Saba Shafique, Akbar Ali
- New inextensible flows of principal normal spherical image
- Authors: Talat Körpinar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this work, we study normal spherical indicatrices (images) in terms of inextensible flows in [math]. We discuss the geometric properties of the normal spherical indicatrices. Furthermore, we give some new characterizations of curvatures in terms of some partial differential equations in [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-17T09:21:06Z
DOI: 10.1142/S1793557118500018
- Authors: Talat Körpinar
- Derivation of the system of generalized Riccati equations from the system
of evolution equations- Authors: Robert M. Yamaleev
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The method of transformation of a linear system of evolution equations into the system of Riccati-type equations is elaborated. It is shown that the system of generalized Riccati equations is governed by the characteristic polynomial of [math]-order generator matrix of the linear system of evolution equations. Solutions of the generalized Riccati equations are presented by roots of the polynomial function, whose coefficients constitute the solutions of the linear system of evolution equations. An inverse mapping from the solutions of generalized Riccati equations onto the solutions of the linear evolution equations is constructed.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-17T09:21:06Z
DOI: 10.1142/S1793557117500814
- Authors: Robert M. Yamaleev
- On structure of the semigroups of [math]-linked upfamilies on groups
- Authors: Taras O. Banakh, Volodymyr M. Gavrylkiv
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Given a group [math], we study right and left zeros, idempotents, the minimal ideal, left cancelable and right cancelable elements of the semigroup [math] of [math]-linked upfamilies and characterize groups [math] whose extensions [math] are commutative. We finish the paper with the complete description of the structure of the semigroups [math] for all groups [math] of cardinality [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-17T09:21:05Z
DOI: 10.1142/S1793557117500838
- Authors: Taras O. Banakh, Volodymyr M. Gavrylkiv
- Weighted fractional differentiation composition operators from mixed-norm
spaces to Zygmund spaces- Authors: Anuradha Gupta, Pooja Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The fractional derivative operator is an extension of the usual derivative operator [math] to an arbitrary (integer, rational, irrational or complex) values of [math]. In this paper, weighted fractional differentiation composition operators from mixed-norm spaces to Zygmund spaces are characterized in terms of boundedness and compactness.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-17T09:21:05Z
DOI: 10.1142/S1793557117500826
- Authors: Anuradha Gupta, Pooja Sharma
- On irrational Brun-type constants
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this article, we will find some infinite Brun-type series [math] and we show that those series generates at least one irrational constant.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-10T08:32:21Z
DOI: 10.1142/S1793557117500796
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Pringsheim convergence of double sequences for uniform boundedness
principle- Authors: C. Ganesa Moorthy, C. T. Ramasamy
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The set of all pairs of positive integers is considered as a directed set under the direction: [math] if and only if [math] and [math]. This directed set is used for Pringsheim-type convergence of double sequences. Consequences of uniform boundedness principle through double sequences are derived in this paper.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-01-10T08:32:19Z
DOI: 10.1142/S1793557117500802
- Authors: C. Ganesa Moorthy, C. T. Ramasamy
- On generalization of weighted Ostrowski type inequalities for functions of
bounded variation- Authors: Huseyin Budak, Mehmet Zeki Sarikaya
Pages: 1 - 11
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, some generalization of weighted Ostrowski type integral inequalities for mappings of bounded variation are obtained and some interesting inequalities as special cases are given.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-05-02T09:17:04Z
DOI: 10.1142/S1793557118500493
- Authors: Huseyin Budak, Mehmet Zeki Sarikaya