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 [118 journals] |
- The harmonic index of unicyclic graphs
- Authors: R. Rasi, S. M. Sheikholeslami
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
The harmonic index of a graph [math], denoted by [math], is defined as the sum of weights [math] over all edges [math] of [math], where [math] denotes the degree of a vertex [math]. Hu and Zhou [WSEAS Trans. Math. 12 (2013) 716–726] proved that for any unicyclic graph [math] of order [math], [math] with equality if and only if [math]. Recently, Zhong and Cui [Filomat 29 (2015) 673–686] generalized the above bound and proved that for any unicyclic graph [math] of order [math] other than [math], [math]. In this paper, we generalize the aforemention results and show that for any connected unicyclic graph [math] of order [math] with maximum degree [math], H(G) ≤ 2 2Δ−1−n Δ+1 + n+1−Δ Δ+2 + 1 4 + n−1−Δ 3if Δ ≥ n+2 2 2 Δ Δ+2 + n−2Δ+2 4 + Δ−2 3 if Δ ≤ n+1 2 and classify the extremal unicyclic graphs.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:46:00Z
DOI: 10.1142/S1793557117500395
- Authors: R. Rasi, S. M. Sheikholeslami
- Restricted Burnside problem for semigroups and its application to language
theory- Authors: Y. Q. Guo, Shoufeng Wang, K. P. Shum
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this paper, we introduce the concept of strongly torsion property of semigroups. Then we prove that the strongly torsion property of a semigroup is a necessary and sufficient condition for a finitely generated semigroup to be finite, and hence, the strongly torsion property is equivalent to the torsion property together with the permutation property for the class of finitely generated semigroups. Finally, we give an application of our main result to language theory. A question proposed in [H. Prodinger, Congruences defined by languages and filters, Inf. Control 44 (1980) 36–46] is consequently answered.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:58Z
DOI: 10.1142/S1793557117500450
- Authors: Y. Q. Guo, Shoufeng Wang, K. P. Shum
- On the well-posedness of boundary value problems for nonclassical
differential equations of higher order- Authors: N. R. Pinigina
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
This paper investigates a high even-order nonclassical differential equation with a spectral parameter. We proved that this equation has a countable system of nontrivial solutions if spectral parameter is negative. We consider two cases, one where the spectral parameter is equal to eigenvalues and one where the spectral parameter is not equal to eigenvalues. In both cases, we proved the existence of regular solutions of boundary value problems for this equation. To do this, we combined the Fourier method and the method of a priori estimates. Moreover, we found some conditions for unsolvability of boundary value problems. In addition, for adjoint problems, we proved that there is no complex eigenvalues.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:52Z
DOI: 10.1142/S1793557117500590
- Authors: N. R. Pinigina
- Self-dual codes over the ring [math] and Jacobi forms
- Authors: Ankur
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
We take a Galois ring [math] and discuss about the self-dual codes and its properties over the ring. We will also describe the relationship between Clifford-Weil group and Jacobi forms by constructing the invariant polynomial ring with the complete weight enumerator.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:51Z
DOI: 10.1142/S1793557117500553
- Authors: Ankur
- On infinite direct sums of lifting modules
- Authors: M. Tamer Koşan, Truong Cong Quynh
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
The aim of the present article is to investigate the structure of rings [math] satisfying the condition: for any family [math] of simple right [math]-modules, every essential extension of [math] is a direct sum of lifting modules, where [math] denotes the injective hull. We show that every essential extension of [math] is a direct sum of lifting modules if and only if [math] is right Noetherian and [math] is hollow. Assume that [math] is an injective right [math]-module with essential socle. We also prove that if every essential extension of [math] is a direct sum of lifting modules, then [math] is [math]-injective. As a consequence of this observation, we show that [math] is a right V-ring and every essential extension of [math] is a direct sum of lifting modules for all simple modules [math] if and only if [math] is a right [math]-V-ring.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:49Z
DOI: 10.1142/S1793557117500498
- Authors: M. Tamer Koşan, Truong Cong Quynh
- Complex dynamics of diffusive predator–prey system with
Beddington–DeAngelis functional response: The role of prey-taxis- Authors: Nilesh Kumar Thakur, Rashi Gupta, Ranjit Kumar Upadhyay
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
An attempt has been made to understand the complex dynamics of a spatial predator–prey system with Beddington–DeAngelis type functional response in the presence of prey-taxis and subjected to homogenous Neumann boundary condition. To describe the active movement of predators to the regions of high prey density or if the predator is following some sort of odor to find the prey, the prey-taxis phenomenon is included in a general reaction–diffusion equation. We have studied the linear stability analysis of both spatial and non-spatial models. We have performed extensive simulations to identify the conditions to generate spatiotemporal patterns in the presence of prey-taxis. It has been observed that the increasing predator active movement from the bifurcation value, the system shows chaotic behavior whereas increasing value of random movement brings the system back to order from the disordered state.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:48Z
DOI: 10.1142/S1793557117500474
- Authors: Nilesh Kumar Thakur, Rashi Gupta, Ranjit Kumar Upadhyay
- On classification of pomonoids by properties of generators
- Authors: Setareh Irannezhad, Ali Madanshekaf
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this paper, we attempt to collect the knowledge on generators in the category Pos-[math] and to apply this to proceed on the questions of homological classification of ordered monoids, that is results of the type: all generators in the category Pos-[math], have a flatness property if and only if [math] has a certain property.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:47Z
DOI: 10.1142/S1793557117500413
- Authors: Setareh Irannezhad, Ali Madanshekaf
- Bounds on hyper-Wiener index of graphs
- Authors: Abdollah Alhevaz, Maryam Baghipur, Sadegh Rahimi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
The Wiener number [math] of a graph [math] was introduced by Harold Wiener in connection with the modeling of various physic-chemical, biological and pharmacological properties of organic molecules in chemistry. Milan Randić introduced a modification of the Wiener index for trees (acyclic graphs), and it is known as the hyper-Wiener index. Then Klein et al. generalized Randić’s definition for all connected (cyclic) graphs, as a generalization of the Wiener index, denoted by [math] and defined as [math]. In this paper, we establish some upper and lower bounds for [math], in terms of other graph-theoretic parameters. Moreover, we compute hyper-Wiener number of some classes of graphs.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:45Z
DOI: 10.1142/S1793557117500577
- Authors: Abdollah Alhevaz, Maryam Baghipur, Sadegh Rahimi
- On nilpotent elements of ore extensions
- Authors: Masoud Azimi, Ahmad Moussavi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
Let [math] be an associative ring with unity, [math] be an endomorphism of [math] and [math] an [math]-derivation of [math]. We introduce the notion of [math]-nilpotent p.p.-rings, and prove that the [math]-nilpotent p.p.-condition extends to various ring extensions. Among other results, we show that, when [math] is a nil-[math]-compatible and [math]-primal ring with [math] nilpotent, then [math]; and when [math] is a nil Armendriz ring of skew power series type with [math] nilpotent, then [math] where [math] is the set of nilpotent elements of [math]. These results extend existing results to a more general setting.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:43Z
DOI: 10.1142/S1793557117500437
- Authors: Masoud Azimi, Ahmad Moussavi
- Homological invariants of the Stanley–Reisner ring of a
[math]-decomposable simplicial complex- Authors: Somayeh Moradi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this paper, we study the regularity and the projective dimension of the Stanley–Reisner ring of a [math]-decomposable simplicial complex and explain these invariants with a recursive formula. To this aim, the graded Betti numbers of decomposable monomial ideals which is the dual concept for [math]-decomposable simplicial complexes are studied and an inductive formula for the Betti numbers is given. As a corollary, for a shellable simplicial complex [math], a formula for the regularity of the Stanley–Reisner ring of [math] is presented. Finally, for a chordal clutter [math], an upper bound for [math] is given in terms of the regularities of edge ideals of some chordal clutters which are minors of [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:42Z
DOI: 10.1142/S1793557117500619
- Authors: Somayeh Moradi
- Globally determined ternary semigroups
- Authors: S. Kar, I. Dutta
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
Let [math] be the set of all nonempty subsets of a ternary semigroup [math]. Then [math] is a ternary semigroup with respect to the ternary multiplication defined by [math] for all [math]. If [math] and [math] are isomorphic ternary semigroups, then the corresponding power ternary semigroups [math] and [math] are obviously isomorphic. It is quite natural to ask whether the converse is true, i.e. is it true that for any ternary semigroups [math] and [math], [math] implies that [math]' If the class [math] of algebra has this property, we say that [math] is a globally determined class. In this paper, we provide some class of globally determined ternary semigroups. We show that all ternary semigroups are not globally determined but some special classes of ternary semigroups are globally determined. We show that the class of finite left (right) zero ternary semigroups, ternary groups and principal ideal (P. I.) ternary semigroups are globally determined but the class of involution ternary semigroups is not globally determined.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:41Z
DOI: 10.1142/S1793557117500383
- Authors: S. Kar, I. Dutta
- Gorenstein homological dimensions and some duality results
- Authors: Fatemeh Mohammadi Aghjeh Mashhad
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
Let [math] be a local ring and [math] denote the Matlis duality functor. Assume that [math] possesses a normalized dualizing complex [math] and [math] and [math] are two homologically bounded complexes of [math]-modules with finitely generated homology modules. We will show that if G-dimension of [math] and injective dimension of [math] are finite, then [math] Also, we prove that if Gorenstein injective dimension of [math] and projective dimension of [math] are finite, then [math] These results provide some generalizations of Suzuki’s Duality Theorem and the Herzog–Zamani Duality Theorem.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:40Z
DOI: 10.1142/S1793557117500486
- Authors: Fatemeh Mohammadi Aghjeh Mashhad
- Approximation of periodic functions in certain sub-classes of [math]
- Authors: Uaday Singh, Soshal Saini
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this paper, we determine the degree of trigonometric approximation of [math]-periodic functions and their conjugates, in terms of the moduli of continuity associated with them, by matrix means of corresponding Fourier series. We also discuss some analogous results with remarks and corollaries.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:38Z
DOI: 10.1142/S1793557117500462
- Authors: Uaday Singh, Soshal Saini
- On endomorphisms of power-semigroups
- Authors: Yeni Susanti, Joerg Koppitz
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
An involuted semilattice [math] is a semilattice [math] with an identity element [math] and with an involution [math] satisfying [math] and [math]. We consider involuted semilattices [math] with an identity [math] such that there is a subsemilattice [math] without [math] with the property that any [math] belongs to exactly one of the following four sets : [math], [math], [math] or [math]. In this paper, we introduce an associative binary operation [math] on [math] in the following quite natural way: [math], [math], [math], and [math] for [math] and characterize all endomorphisms of the orthodox semigroup [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:37Z
DOI: 10.1142/S1793557117500589
- Authors: Yeni Susanti, Joerg Koppitz
- Quasi-coretractable modules
- Authors: Abhay Kumar Singh, Amrit Kumar Mahato, K. P. Shum
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this paper, we will discuss and study the structure of quasi-coretractable modules. Some characterization theorems of quasi-coretractable modules in terms of Kasch rings, CS modules, mono-coretractable modules, projective modules, epi-retractable modules and retractable modules will be given. Some equivalent conditions related with the quasi-coretractable and the mono-coretractable module will also be considered and investigated. Some recent results given by Singh on coretractable modules will be extended and enriched.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:35Z
DOI: 10.1142/S1793557117500425
- Authors: Abhay Kumar Singh, Amrit Kumar Mahato, K. P. Shum
- Tripled fixed point theorems and applications to a fractional differential
equation boundary value problem- Authors: Hojjat Afshari, Alireza Kheiryan
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this article we study a class of mixed monotone operators with convexity on ordered Banach spaces and present some new tripled fixed point theorems by means of partial order theory, we get the existence and uniqueness of tripled fixed points without assuming the operator to be compact or continuous, which extend the existing corresponding results. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for a fractional differential equation boundary value problem.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:34Z
DOI: 10.1142/S1793557117500565
- Authors: Hojjat Afshari, Alireza Kheiryan
- Epimorphisms, dominions, closed and absolutely closed semigroups
- Authors: Noor Alam, Noor Mohammad Khan
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
Firstly, we show that the variety of all left(right) regular bands and the variety of all normal bands are closed in the variety of all left(right) semiregular bands and the variety of all medial semigroups, respectively. Then, we show that the class of all regular medial semigroups satisfying certain condition is absolutely closed.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:32Z
DOI: 10.1142/S1793557117500620
- Authors: Noor Alam, Noor Mohammad Khan
- Algebraic dependences of meromorphic mappings sharing moving hyperplanes
without counting multiplicities- Authors: Le Ngoc Quynh
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
This paper deals with the multiple values and algebraic dependences problem of meromorphic mappings sharing moving hyperplanes in projective space. We give some algebraic dependences theorems for meromorphic mappings sharing moving hyperplanes without counting multiplicity, where all zeros with multiplicities more than a certain number are omitted. Basing on these results, some unicity theorems regardless of multiplicity for meromorphic mappings in several complex variables are given. These results are extensions and strong improvements of some recent results.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:31Z
DOI: 10.1142/S1793557117500401
- Authors: Le Ngoc Quynh
- Numerical solution of Abel equation using operational matrix method with
Chebyshev polynomials- Authors: Yalçın Öztürk, Mustafa Gülsu
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this paper, we present a numerical scheme for solving the Abel equation. The approach is based on the shifted Chebyshev polynomials together with operational method. We reduce the problem to a set of nonlinear algebraic equations using operational matrix method. In addition, convergence analysis of the method is presented. Some numerical examples are given to demonstrate the validity and applicability of the method. The only a small number of Chebyshev polynomials is needed to obtain a satisfactory result.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:29Z
DOI: 10.1142/S179355711750053X
- Authors: Yalçın Öztürk, Mustafa Gülsu
- The Fekete–Szegö problem for a Ma–Minda type class of bi-univalent
functions associated with the Hohlov operator- Authors: Poonam Sharma, Ankita Nigam
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
In this paper, we solve Fekete–Szegö problem for a Ma–Minda type class [math] of bi-univalent functions associated with the Hohlov operator which is a specialized case of the widely-investigated Dziok–Srivastava operator which, in turn, is contained in the Srivastava–Wright operator. Results for some of its consequent classes [math] [math] [math] and [math] are also given. A function [math] in this class may satisfy one subordinate condition, whereas [math], another. One result for that is also given by considering certain [math]. Some useful consequences and relationships with some of the known results are also pointed out.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:28Z
DOI: 10.1142/S1793557117500528
- Authors: Poonam Sharma, Ankita Nigam
- The McCoy condition on skew monoid rings
- Authors: Kamal Paykan, Ahmad Moussavi
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
Let [math] be an associative ring with identity, [math] a monoid and [math] a monoid homomorphism. When [math] is a u.p.-monoid and [math] is a reversible [math]-compatible ring, then we observe that [math] satisfies a McCoy-type property, in the context of skew monoid ring [math]. We introduce and study the [math]-McCoy condition on [math], a generalization of the standard McCoy condition from polynomial rings to skew monoid rings. Several examples of reversible [math]-compatible rings and also various examples of [math]-McCoy rings are provided. As an application of [math]-McCoy rings, we investigate the interplay between the ring-theoretical properties of a general skew monoid ring [math] and the graph-theoretical properties of its zero-divisor graph [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:26Z
DOI: 10.1142/S1793557117500504
- Authors: Kamal Paykan, Ahmad Moussavi
- Maps preserving strong 2-Jordan product on some algebras
- Authors: Ali Taghavi, Farzaneh Kolivand
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
Let [math] be a surjective map between some operator algebras such that [math] for all [math], where [math] defined by [math] and [math] is Jordan product, i.e. [math]. In this paper, we determine the concrete form of map [math] on some operator algebras. Such operator algebras include standard operator algebras, properly infinite von Neumann algebras and nest algebras. Particularly, if [math] is a factor von Neumann algebra that satisfies [math] for all [math] and idempotents [math] then there exists nonzero scalar [math] with [math] such that [math] for all [math]
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:25Z
DOI: 10.1142/S1793557117500449
- Authors: Ali Taghavi, Farzaneh Kolivand
- Equivariant exponentially harmonic maps between manifolds with metrics of
signatures- Authors: Yuan-Jen Chiang
Abstract: Asian-European Journal of Mathematics, Volume 10, Issue 03, September 2017.
Harmonic maps and exponentially harmonic maps are different. We study equivariant exponentially harmonic maps between warped product manifolds. We then investigate equivariant exponentially harmonic maps from manifolds with metrics of [math]-signatures into manifolds with metrics of [math]-signatures, obtain the reduction theorem, and provide a few examples.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-09-14T01:45:23Z
DOI: 10.1142/S1793557117500607
- Authors: Yuan-Jen Chiang
- 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.
An analytic self-map [math] of the open unit disk [math] in the complex plane induces the so-called composition operator [math], where [math] denotes the set of all analytic functions on [math]. In this paper, we continue the research we did in [Weighted composition operators between weighted Bergman spaces and weighted Banach spaces of holomorphic functions, Rev. Mat. Complut. 21(2) (2008) 475–480; Weighted composition operators between weighted Bergman spaces, RACSAM Rev. R. Acad. Cienc. Exactas Fis Nat. Ser. A Mat. 103(1) (2009) 11–15; Boundedness and compactness of weighted composition operators between weighted Bergman spaces, Ann. Univ. Mariae Curie-Sklodowska Sect. A 66(1) (2012) 75–81] and investigate the boundedness of composition operators acting between weighted Bergman spaces, i.e. we analyze the condition given there in terms of the weighted Berezin transform and obtain a necessary as well as a very similar sufficient condition for the boundedness of composition operators acting between weighted Bergman spaces that involves only the given weights and symbols.
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