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] |
- Some results on curves in the plane with log-linear density
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we show some relations between traveling fronts of curvature flow and constant [math]-curvature curves. In the plane with density [math] satisfying [math], we prove a Fenchel’s type theorem for the class of simple, closed, convex curves. We also prove that among all curves joining two given points, a curve minimizes weighted arc-length if and only if its [math]-curvature is 0. Another proof is also presented for the fact “the plane with density[math] contains no isoperimetric region”.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-21T08:14:28Z
DOI: 10.1142/S1793557117500851
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- A generalization of commuting probability of finite rings
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- A characterization of an isomorphism
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- A characterization of Jordan and 5-Jordan homomorphisms between Banach
algebras- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Bass numbers of generalized local cohomology modules with respect to a
pair of ideals- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Nonlinearity of [math]-cycle permutations on [math]
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Local convergence of deformed Euler–Halley-type methods in Banach
space under weak conditions- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We present a unified local convergence analysis for deformed Euler–Halley-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Our methods include the Euler, Halley and other high order methods. The convergence ball and error estimates are given for these methods under hypotheses up to the first Fréchet derivative in contrast to earlier studies using hypotheses up to the second Fréchet derivative. Numerical examples are also provided in this study.
Citation: Asian-European Journal of Mathematics
PubDate: 2017-03-02T09:45:51Z
DOI: 10.1142/S1793557117500863
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- On generalized subnormal subgroups of finite metanilpotent groups
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- [math]-derivations of BL-algebras
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Base points, bases and positive definite forms
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Favard’s inequality for pseudo-integral
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Morita invariants of semirings-II
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Geometric properties of the differential shift plus complex Volterra
operator- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- On quantum codes obtained from cyclic codes over [math]
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Fixed point results for generalized [math]-Suzuki-contractions in
quasi-[math]-metric-like spaces- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Some regular generalized star [math]-separation axiom in bigeneralized
topological spaces- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Existence and convergence theorems for best proximity points
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- On robust stability for uncertain neutral systems with non-differentiable
interval time-varying discrete delay and nonlinear perturbations- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Some inequalities for trace class operators via a Kato’s result
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Certain homogeneous paracontact three-dimensional Lorentzian metrics
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- N-Legendre and N-slant curves in the unit tangent bundle of Minkowski
surfaces- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Nonlinear preservers of group invertible operators
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- On Tarski algebras with a finite set of free generators
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- On the reduced second Zagreb index of trees
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- New inextensible flows of principal normal spherical image
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- 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
- 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
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- 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 a subclass of quasi-convex functions with fixed second coefficient
- Authors: G. Thirupathi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-27T03:40:00Z
DOI: 10.1142/S1793557117500784
- Authors: G. Thirupathi
- Dunkl generalization of Kantorovich type Szász–Mirakjan
operators via [math]-calculus- Authors: M. Mursaleen, Md. Nasiruzzaman
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-23T03:28:43Z
DOI: 10.1142/S1793557117500772
- Authors: M. Mursaleen, Md. Nasiruzzaman
- On Nadler type results in ultrametric spaces with application to
well-posedness- Authors: M. Pitchaimani, D. Ramesh Kumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-23T02:27:02Z
DOI: 10.1142/S1793557117500735
- Authors: M. Pitchaimani, D. Ramesh Kumar
- Boundedness of fractional differential operator in complex spaces
- Authors: Rabha W. Ibrahim, Adem Kılıçman, Zainab E. Abdulnaby
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-23T02:27:02Z
DOI: 10.1142/S1793557117500759
- Authors: Rabha W. Ibrahim, Adem Kılıçman, Zainab E. Abdulnaby
- On dimension of Schur multiplier of nilpotent Lie algebras II
- Authors: F. Saeedi, H. Arabyani, P. Niroomand
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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 3 and [math] is the abelian [math]-dimensional Lie algebra. In the same year, they also classified all nilpotent Lie algebras [math] satisfying [math] or 2. In this paper, we obtain all nilpotent Lie algebras [math] provided that [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2016-12-23T02:27:01Z
DOI: 10.1142/S1793557117500760
- Authors: F. Saeedi, H. Arabyani, P. Niroomand
- New complexity analysis of a full Nesterov–Todd step interior-point
method for semidefinite optimization- Authors: Behrouz Kheirfam
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-23T02:27:01Z
DOI: 10.1142/S179355711750070X
- Authors: Behrouz Kheirfam
- Positive solutions of [math]th-order impulsive eigenvalue problems with an
advanced argument- Authors: Gaoli Lu, Meiqiang Feng
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-23T02:27:00Z
DOI: 10.1142/S1793557117500723
- Authors: Gaoli Lu, Meiqiang Feng
- The total graph of unfaithful submodules of a module over reversible rings
- Authors: A. Alibemani, E. Hashemi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-23T02:27:00Z
DOI: 10.1142/S1793557117500747
- Authors: A. Alibemani, E. Hashemi
- Banach algebra with generalized derivations
- Authors: S. K. Tiwari, B. Prajapati, R. K. Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-22T07:29:29Z
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- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-22T07:29:28Z
DOI: 10.1142/S1793557117500711
- Abstract: Asian-European Journal of Mathematics, Ahead of Print.
- Symplectic diffeomorphisms with limit shadowing
- Authors: Manseob Lee
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a symplectic diffeomorphism on a closed [math][math]-dimensional Riemannian manifold [math]. In this paper, we show that [math] is Anosov if any of the following statements holds: [math] belongs to the [math]-interior of the set of symplectic diffeomorphisms satisfying the limit shadowing property or [math] belongs to the [math]-interior of the set of symplectic diffeomorphisms satisfying the limit weak shadowing property or [math] belongs to the [math]-interior of the set of symplectic diffeomorphisms satisfying the s-limit shadowing property.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-12-22T07:29:27Z
DOI: 10.1142/S1793557117500681
- Authors: Manseob Lee
- Geometric aspects of CR-warped product submanifolds of [math]-manifolds
- Authors: Akram Ali, Wan Ainun Mior Othman
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-12-22T07:29:26Z
DOI: 10.1142/S179355711750067X
- Authors: Akram Ali, Wan Ainun Mior Othman
- 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, Ahead of Print.
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: 2016-12-22T07:29:25Z
DOI: 10.1142/S1793557117500668
- Authors: F. Ghanim, R. M. El-Ashwah
- Set-valued contraction mappings of Prešić–Reich type in
ultrametric spaces- Authors: D. Ramesh Kumar, M. Pitchaimani
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-11-29T11:55:51Z
DOI: 10.1142/S1793557117500656
- Authors: D. Ramesh Kumar, M. Pitchaimani
- Starlike functions associated with a lune
- Authors: Shweta Gandhi, V. Ravichandran
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-11-29T11:55:50Z
DOI: 10.1142/S1793557117500644
- Authors: Shweta Gandhi, V. Ravichandran
- On weakly [math]-absorbing subtractive ideals in semirings
- Authors: J. N. Chaudhari, M. D. Suryawanshi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-11-23T03:10:55Z
DOI: 10.1142/S1793557117500632
- Authors: J. N. Chaudhari, M. D. Suryawanshi
- Epimorphisms, dominions, closed and absolutely closed semigroups
- Authors: Noor Alam, Noor Mohammad Khan
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-11-23T03:10:53Z
DOI: 10.1142/S1793557117500620
- Authors: Noor Alam, Noor Mohammad Khan
- Homological invariants of the Stanley–Reisner ring of a
[math]-decomposable simplicial complex- Authors: Somayeh Moradi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-11-17T03:46:34Z
DOI: 10.1142/S1793557117500619
- Authors: Somayeh Moradi
- Equivariant exponentially harmonic maps between manifolds with metrics of
signatures- Authors: Yuan-Jen Chiang
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-11-17T03:46:32Z
DOI: 10.1142/S1793557117500607
- Authors: Yuan-Jen Chiang
- 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, Ahead of Print.
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: 2016-11-03T04:19:34Z
DOI: 10.1142/S1793557117500590
- Authors: N. R. Pinigina
- On endomorphisms of power-semigroups
- Authors: Yeni Susanti, Joerg Koppitz
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-11-02T10:12:07Z
DOI: 10.1142/S1793557117500589
- Authors: Yeni Susanti, Joerg Koppitz
- Self-dual codes over the ring [math] and Jacobi forms
- Authors: Ankur
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-10-25T03:41:13Z
DOI: 10.1142/S1793557117500553
- Authors: Ankur
- Bounds on hyper-Wiener index of graphs
- Authors: Abdollah Alhevaz, Maryam Baghipur, Sadegh Rahimi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-10-25T03:41:12Z
DOI: 10.1142/S1793557117500577
- Authors: Abdollah Alhevaz, Maryam Baghipur, Sadegh Rahimi
- 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, Ahead of Print.
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: 2016-10-25T03:41:12Z
DOI: 10.1142/S1793557117500565
- Authors: Hojjat Afshari, Alireza Kheiryan
- Semigroup properties of linear terms
- Authors: Laddawan Lohapan, Prakit Jampachon
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The concept of linear terms of a given type [math] (terms in which each variable occurs at most once) was introduced by M. Couceiro and E. Lethonen in [Galois theory for sets of operations closed under permutation, cylindrification and composition, Algebr. Univ. 67 (2012) 273–297, doi:10.1007/s00012-012-0184-1] (see also [T. Changphas, K. Denecke and B. Pibaljommee, Linear terms and linear hypersubstitutions, SEAMS Bull. Math. 40 (2016) (to be published).]). In this paper, we introduce binary partial operations [math] and [math] on the set [math] of all linear terms of type [math] Then we characterize regular elements and Green’s relations in these partial algebras.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-10-19T10:15:50Z
DOI: 10.1142/S1793557117500516
- Authors: Laddawan Lohapan, Prakit Jampachon
- Corner boundary value problems
- Authors: M. Hedayat Mahmoudi, B.-W. Schulze
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The paper develops some crucial steps in extending the first-order cone or edge calculus to higher singularity orders. We focus here on order [math] but the ideas are motivated by an iterative approach for higher singularities.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-10-19T10:15:49Z
DOI: 10.1142/S1793557117500541
- Authors: M. Hedayat Mahmoudi, B.-W. Schulze
- Numerical solution of Abel equation using operational matrix method with
Chebyshev polynomials- Authors: Yalçın Öztürk, Mustafa Gülsu
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-10-19T10:15:49Z
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, Ahead of Print.
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: 2016-10-19T10:15:48Z
DOI: 10.1142/S1793557117500528
- Authors: Poonam Sharma, Ankita Nigam
- 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, Ahead of Print.
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: 2016-10-04T09:23:50Z
DOI: 10.1142/S1793557117500450
- Authors: Y. Q. Guo, Shoufeng Wang, K. P. Shum
- On infinite direct sums of lifting modules
- Authors: M. Tamer Koşan, Truong Cong Quynh
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-10-04T09:23:50Z
DOI: 10.1142/S1793557117500498
- Authors: M. Tamer Koşan, Truong Cong Quynh
- On nilpotent elements of ore extensions
- Authors: Masoud Azimi, Ahmad Moussavi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-10-04T09:23:49Z
DOI: 10.1142/S1793557117500437
- Authors: Masoud Azimi, Ahmad Moussavi
- 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, Ahead of Print.
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: 2016-10-04T09:23:49Z
DOI: 10.1142/S1793557117500474
- Authors: Nilesh Kumar Thakur, Rashi Gupta, Ranjit Kumar Upadhyay
- Gorenstein homological dimensions and some duality results
- Authors: Fatemeh Mohammadi Aghjeh Mashhad
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-10-04T09:23:49Z
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, Ahead of Print.
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: 2016-10-04T09:23:49Z
DOI: 10.1142/S1793557117500462
- Authors: Uaday Singh, Soshal Saini
- The McCoy condition on skew monoid rings
- Authors: Kamal Paykan, Ahmad Moussavi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-10-04T09:23:49Z
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, Ahead of Print.
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: 2016-10-04T09:23:48Z
DOI: 10.1142/S1793557117500449
- Authors: Ali Taghavi, Farzaneh Kolivand
- Quasi-coretractable modules
- Authors: Abhay Kumar Singh, Amrit Kumar Mahato, K. P. Shum
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-09-30T08:51:39Z
DOI: 10.1142/S1793557117500425
- Authors: Abhay Kumar Singh, Amrit Kumar Mahato, K. P. Shum
- On classification of pomonoids by properties of generators
- Authors: Setareh Irannezhad, Ali Madanshekaf
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-09-09T06:27:52Z
DOI: 10.1142/S1793557117500413
- Authors: Setareh Irannezhad, Ali Madanshekaf
- The harmonic index of unicyclic graphs
- Authors: R. Rasi, S. M. Sheikholeslami
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-09-09T06:27:52Z
DOI: 10.1142/S1793557117500395
- Authors: R. Rasi, S. M. Sheikholeslami
- Globally determined ternary semigroups
- Authors: S. Kar, I. Dutta
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-09-09T06:27:51Z
DOI: 10.1142/S1793557117500383
- Authors: S. Kar, I. Dutta
- Algebraic dependences of meromorphic mappings sharing moving hyperplanes
without counting multiplicities- Authors: Le Ngoc Quynh
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
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: 2016-09-09T06:27:50Z
DOI: 10.1142/S1793557117500401
- Authors: Le Ngoc Quynh
- Weighted limits in the category Dcpo-[math]
- Authors: Farideh Farsad, Halimeh Moghbeli-Damaneh
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we consider the category Dcpo-S of [math]-dcpos and [math]-dcpo maps between them. This category is enriched over the symmetric monoidal closed category Dcpo. So, we are going to find weighted limits in this category. In fact, we show that the category of [math]-dcpos has weighted limits. Finally, we give a concrete construction of some kinds of weighted limits in this category.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-08-10T08:10:41Z
DOI: 10.1142/S1793557117500371
- Authors: Farideh Farsad, Halimeh Moghbeli-Damaneh
- Totally real submanifolds in a generalized complex space form
- Authors: Majid Ali Choudhary
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the present paper, we investigate totally real submanifolds in generalized complex space form. We study the [math]-structure in the normal bundle of a totally real submanifold and derive some integral formulas computing the Laplacian of the square of the second fundamental form and using these formulas, we prove a pinching theorem. In fact, the purpose of this note is to generalize results proved in B. Y. Chen and K. Ogiue, On totally real manifolds, Trans. Amer. Math. Soc. 193 (1974) 257–266, S. S. Chern, M. Do Carmo and S. Kobayashi, Minimal submanifolds of a sphere with second fundamental form of constant length, in Functional Analysis and Related Fields (Springer-Verlag, 1970), pp. 57–75 to the case, when the ambient manifold is generalized complex space form.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-08-03T06:49:34Z
DOI: 10.1142/S1793557117500358
- Authors: Majid Ali Choudhary
- Normally conjugative relations
- Authors: Daniel A. Romano
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, the concept of normally conjugative relations on sets is introduced. A characterizations of this relations is obtained. In addition, particulary, we show when the anti-order relation [math] is normally conjugative. Besides, the concept of finitely normal conjugative relations is introduced and analyzed.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-08-03T06:49:33Z
DOI: 10.1142/S179355711750036X
- Authors: Daniel A. Romano
- Nilpotent elements and nil-Armendariz property of skew generalized power
series rings- Authors: Kamal Paykan, Ahmad Moussavi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a ring, [math] a strictly ordered monoid, and [math] a monoid homomorphism. The skew generalized power series ring [math] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent series rings. In this paper, we introduce and study the [math]-nil-Armendariz condition on [math], a generalization of the standard nil-Armendariz condition from polynomials to skew generalized power series. We resolve the structure of [math]-nil-Armendariz rings and obtain various necessary or sufficient conditions for a ring to be [math]-nil-Armendariz. The [math]-nil-Armendariz condition is connected to the question of whether or not a skew generalized power series ring [math] over a nil ring [math] is nil, which is related to a question of Amitsur [Algebras over infinite fields, Proc. Amer. Math. Soc. 7 (1956) 35–48]. As particular cases of our general results we obtain several new theorems on the nil-Armendariz condition. Our results extend and unify many existing results.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-08-03T06:46:56Z
DOI: 10.1142/S1793557117500346
- Authors: Kamal Paykan, Ahmad Moussavi
- Dual annihilator filters of commutative [math]-algebras
- Authors: V. Venkata Kumar, M. Sambasiva Rao
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Some properties of dual annihilator filters of commutative [math]-algebras are studied. It is proved that the class of all dual annihilator filters of a BE-algebra is a complete Boolean algebra. A set of equivalent conditions is derived for every prime filter of a commutative [math]-algebra to become a maximal filter.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-28T01:16:51Z
DOI: 10.1142/S1793557117500139
- Authors: V. Venkata Kumar, M. Sambasiva Rao
- Determination of an unknown source term for an inverse source problem of
the time-fractional equation- Authors: Meisam Noei Khorshidi, Sohrab Ali Yousefi, Mohammad Arab Firoozjaee
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we consider an inverse source problem for a time-fractional equation with variable coefficients in a general bounded domain. The fractional derivative in the problem is in the Caputo sense. Transforming time-fractional inverse problems into optimization problem and using polynomial basis functions, we obtain the system of algebraic equation. Then, we solve the system of nonlinear algebraic equation using Mathematica7 and we have the coefficients of polynomial expansion. We extensively discuss the convergence of the method. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-26T11:48:48Z
DOI: 10.1142/S1793557117500310
- Authors: Meisam Noei Khorshidi, Sohrab Ali Yousefi, Mohammad Arab Firoozjaee
- Open packing Saturation Number of a Graph
- Authors: I. Sahul Hamid, S. Saravanakumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In a graph [math], a non-empty set [math] is said to be an open packing set if no two vertices of [math] have a common neighbor in [math] Let [math] and let [math] denote the maximum cardinality of an open packing set in [math] which contains [math]. Then [math] is called the open packing saturation number of [math]. In this paper, we initiate a study on this parameter.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-26T11:48:47Z
DOI: 10.1142/S1793557117500334
- Authors: I. Sahul Hamid, S. Saravanakumar
- Generalized derivations on Lie ideals in prime rings
- Authors: V. K. Yadav, S. K. Tiwari, R. K. Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a [math]-torsion free prime ring, and [math] a square closed Lie ideal of [math] Further let [math] and [math] be generalized derivations associated with derivations [math] and [math], respectively on [math] If one of the following conditions holds: (i) [math] (ii) [math] (iii) [math] (iv) [math] (v) [math] for all [math] then it is proved that either [math] or [math]
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-26T11:48:46Z
DOI: 10.1142/S1793557117500322
- Authors: V. K. Yadav, S. K. Tiwari, R. K. Sharma
- Fixed point theorems in generalized metric spaces
- Authors: Stefan Czerwik, Krzysztof Król
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In the paper, we shall prove the results on the existence of fixed points of mapping defined on generalized metric space satisfying a nonlinear contraction condition, which is a generalization of Diaz and Margolis theorem (see [A fixed point theorem of the alternative, for contractions on a generalized complete metric space, Bull. Amer. Math. Soc. 74 (1968) 305–309]). We also present local fixed point theorems both in generalized and ordinary metric spaces. Our results are generalizations of Banach fixed point theorem and many other results.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-26T11:48:45Z
DOI: 10.1142/S1793557117500309
- Authors: Stefan Czerwik, Krzysztof Król
- Parameter free hybrid numerical method for solving modified Burgers’
equations on a nonuniform mesh- Authors: Mohan K. Kadalbajoo, Ashish Awasthi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, the modified Burgers’ equation is considered. These kinds of problems come from the field of sonic boom and explosions theories. At big Reynolds’ number there is a boundary layer in the right side of the domain. From numerical point of view, the major difficulty in dealing with this type of problem is that the smooth initial data can give rise to solution varying regions i.e. boundary layer regions. To tackle this situation, we propose a numerical method on nonuniform mesh of Shishkin type, which works well at high as well as low Reynolds number. The proposed method comprises of Euler implicit scheme and hybrid scheme in time and space direction, respectively. First, we discretize the continuous problem in temporal direction by Euler implicit method, which yields a set of ode’s at each time level. The resulting set of differential equations are approximated by a hybrid scheme on Shishkin mesh i.e. upwind in regular region (nonboundary layer region) and central difference in boundary layer regions. The convergence of proposed method has been shown parameter uniform. Some numerical experiments have been carried out to corroborate the theoretical results.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-21T11:42:23Z
DOI: 10.1142/S1793557117500292
- Authors: Mohan K. Kadalbajoo, Ashish Awasthi
- Global synchronization for hybrid coupled neural networks with interval
time-varying delays: A matrix-based quadratic convex approach- Authors: Thongchai Botmart, Narongsak Yotha, Kanit Mukdasai, Supreecha Wongaree
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper is concerned with the global synchronization problems for coupled neural networks (NNs) with hybrid coupling and interval time-varying delays. An appropriate Lyapunov–Krasovskii functional (LKF) and Kronecker product properties are used to form some new delay-dependent synchronization conditions in terms of linear matrix inequalities. A matrix-based quadratic convex approach introduce for sufficient conditions to ensure global synchronization where the time-varying delay is continuous uniformly bounded and its time-derivative bounded by upper and lower bounds. Simulation results are given to show the effectiveness and benefits of the proposed methods.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-21T11:42:22Z
DOI: 10.1142/S1793557117500255
- Authors: Thongchai Botmart, Narongsak Yotha, Kanit Mukdasai, Supreecha Wongaree
- Certain problems related to generalized Srivastava–Attiya operator
- Authors: K. A. Challab, M. Darus, F. Ghanim
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study certain properties involving the generalized Srivastava–Attiya operator. A set of subordination results are obtained and some special cases connected with the Hurwitz–Lerch zeta function and their relevances with known results are also pointed out.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-21T11:42:20Z
DOI: 10.1142/S1793557117500279
- Authors: K. A. Challab, M. Darus, F. Ghanim
- Statistical approximation properties of modified Durrmeyer [math]-Baskakov
type operators with two parameters [math] and [math]- Authors: Vishnu Narayan Mishra, Preeti Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The main aim of this study is to obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established. Our results show that rates of convergence of our operators are at least as fast as classical Durrmeyer type modified Baskakov operators.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-21T11:42:17Z
DOI: 10.1142/S1793557117500280
- Authors: Vishnu Narayan Mishra, Preeti Sharma
- Numerical solution of parabolic partial differential equations using
adaptive gird Haar wavelet collocation method- Authors: S. C. Shiralashetti, L. M. Angadi, M. H. Kantli, A. B. Deshi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we applied the adaptive grid Haar wavelet collocation method (AGHWCM) for the numerical solution of parabolic partial differential equations (PDEs). The approach of AGHWCM for the numerical solution of parabolic PDEs is mentioned, the obtained numerical results, error analysis are presented in figures and tables. This shows that, the AGHWCM gives better accuracy than the HWCM and FDM. Some of the test problems are taken for demonstrating the validity and applicability of the AGHWCM.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-21T11:42:16Z
DOI: 10.1142/S1793557117500267
- Authors: S. C. Shiralashetti, L. M. Angadi, M. H. Kantli, A. B. Deshi
- A generalization of Hall’s theorem
- Authors: Feng Zhou
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a finite group, whose order has [math] prime divisors. In this paper, we prove that if [math] has a [math]-complement for [math] prime divisors [math] of [math] and [math] has no section isomorphic to [math]. Then [math] is solvable, which generalizes a theorem of Hall.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-07-21T11:42:15Z
DOI: 10.1142/S1793557117500243
- Authors: Feng Zhou
- Attached prime ideals of generalized inverse polynomial modules
- Authors: Renyu Zhao
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a ring, [math] a strictly totally ordered monoid which is also artinian and [math] a monoid homomorphism. Given a right [math]-module [math], denote by [math] the generalized inverse polynomial module over the skew generalized power series ring [math]. It is shown in this paper that if [math] is a completely [math]-compatible module and [math] an attached prime ideal of [math], then [math] is an attached prime ideal of [math], and that if [math] is a completely [math]-compatible Bass module, then every attached prime ideal of [math] can be written as the form of [math] where [math] is an attached prime ideal of [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-21T08:07:03Z
DOI: 10.1142/S1793557117500231
- Authors: Renyu Zhao
- Characterization of monoids by condition [math]
- Authors: Mahdiyeh Abbasi, Akbar Golchin, Hossein Mohammadzadeh Saany
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce a generalization of Condition [math], called Condition [math], and will characterize monoids by this condition of their right (Rees factor) acts. Furthermore, we will show that Conditions [math] and [math] are interpolation type conditions for strong flatness.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-17T06:03:16Z
DOI: 10.1142/S1793557117500218
- Authors: Mahdiyeh Abbasi, Akbar Golchin, Hossein Mohammadzadeh Saany
- Maps preserving Jordan triple product on the self-adjoint elements of
[math]-algebras- Authors: Ali Taghavi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] and [math] be two unital [math]-algebras with unit [math]. It is shown that the mapping [math] which preserves arithmetic mean and Jordan triple product is a difference of two Jordan homomorphisms provided that [math]. The structure of [math] is more refined when [math] or [math]. Furthermore, if [math] is a [math]-algebra of real rank zero and [math] is additive and preserves absolute value of product, then [math] such that [math] (respectively, [math]) is a complex linear (respectively, antilinear) ∗-homomorphism.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-17T06:03:16Z
DOI: 10.1142/S179355711750022X
- Authors: Ali Taghavi
- Faber polynomial coefficient estimates for a class of analytic
bi-univalent functions involving a certain differential operator- Authors: Poonam Sharma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we define a sub-class of analytic bi-univalent functions associated with a certain differential operator [math]. Bounds for the general Taylor–Maclaurin coefficients [math] for the functions in this class are obtained. Estimates for the coefficient [math] and the estimate for the functional [math] for any real [math], are also found. Results for the specific values of the parameters [math], are also given mentioning some of the results obtained earlier.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-14T08:28:08Z
DOI: 10.1142/S1793557117500164
- Authors: Poonam Sharma
- On the zero-divisor graph of Rickart ∗-rings
- Authors: Avinash Patil, B. N. Waphare
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study the zero-divisor graph of Rickart ∗-rings. We determine the condition on Rickart ∗-ring so that its zero-divisor graph contains a cut vertex. It is proved that the set of cut vertices form a complete subgraph. We characterize Rickart ∗-rings for which the complement of the zero-divisor graph is connected. The diameter and girth of these graphs are characterized. Further, for a ∗-ring [math] with unity we associate a graph, [math], having all nonzero elements of [math] as vertices and two distinct vertices [math] and [math] are adjacent if and only if either [math] or [math] is a unit in [math]. For a finite Rickart ∗-ring [math] it is proved that [math] is connected if and only if [math] is not isomorphic to [math] or [math] (for any [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-14T08:28:08Z
DOI: 10.1142/S1793557117500152
- Authors: Avinash Patil, B. N. Waphare
- A modified optimal algorithm for 2-maxian location problems on cactus
graphs- Authors: L. Modabber, B. Alizadeh, F. Baroughi
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper considers the [math]-maxian location problem on a cactus graph [math] in which the aim is to find two points on [math] for establishing obnoxious facilities such that the sum of weighted distances from all vertices (existing clients) to the farthest facility is maximized. We develop a modified algorithm for obtaining an optimal solution of the problem under investigation. The proposed algorithm is based on the generic solution idea by Kang et al., while it is straightforward and takes lower computational operations.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-14T08:28:08Z
DOI: 10.1142/S1793557117500176
- Authors: L. Modabber, B. Alizadeh, F. Baroughi
- [math]-flat modules and [math]-injective modules
- Authors: R. Udhayakumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we introduce the concept of [math]-flat (respectively, [math]-[math]-injective) modules as nontrivial generalization of flat (respectively, injective) modules. We first investigate various properties of these modules. For example, we show that over any ring [math], every [math]-module has an [math]-preenvelope, where [math] is class of all [math]-[math]-flat right [math]-modules. Secondly, we investigate the existence of [math]-[math]-injective covers. It is shown that over any ring [math], [math]-[math]-injective cover always exists. Finally, we show that [math] is a perfect cotorsion theory.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-14T08:28:07Z
DOI: 10.1142/S1793557117500140
- Authors: R. Udhayakumar
- Commutativity of rings with identities on subsets
- Authors: Howard E. Bell
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
We prove commutativity of rings [math] with 1 which satisfy certain [math]th power identities on proper subsets of [math].
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-14T08:28:06Z
DOI: 10.1142/S1793557117500188
- Authors: Howard E. Bell
- Abelian theorems for fractional wavelet transform
- Authors: Akhilesh Prasad, Praveen Kumar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, initial and final value Abelian theorems for fractional wavelet transform of function and tempered distributions are obtained. Using Mexican hat wavelet function, an application for Abelian theorems is investigated.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-14T08:28:06Z
DOI: 10.1142/S179355711750019X
- Authors: Akhilesh Prasad, Praveen Kumar
- Characterizations of ordered [math]-regular semirings by ordered
[math]-ideals- Authors: Satyt Patchakhieo, Bundit Pibaljommee
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
An ordered semiring [math] is called ordered [math]-regular if for every element [math] of [math] there exist [math] with [math] such that [math]. An ordered ideal [math] of [math] is called an ordered [math]-ideal, if [math] and [math] for some [math] then [math]. In this work, we characterize ordered [math]-regular semirings using their ordered [math]-ideals. Moreover, characterizations of left(right) ordered [math]-regular semirings and left(right) ordered [math]-weakly regular semirings are investigated.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-06-14T08:28:05Z
DOI: 10.1142/S1793557117500206
- Authors: Satyt Patchakhieo, Bundit Pibaljommee
- On the regularity criterion for the Navier–Stokes equations in terms of
one directional derivative- Authors: Sadek Gala, Maria Alessandra Ragusa
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this note, we consider the regularity problem for the weak solutions, under the critical condition to the Navier–Stokes equations in [math]. We show that, if the velocity [math] satisfies ∂3u ∈ L2(0,T; BMO(ℝ3)) then the solution actually is smooth on [math]. This improves a result established in a recent work by Liu [Q. Liu, A regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity, Acta Appl. Math. 140 (2015) 1–9].
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-27T04:27:48Z
DOI: 10.1142/S1793557117500127
- Authors: Sadek Gala, Maria Alessandra Ragusa
- Standard deviation of recurrence times for piecewise linear
transformations- Authors: Mimoon Ismael, Rodney Nillsen, Graham Williams
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
This paper is concerned with dynamical systems of the form [math], where [math] is a bounded interval and [math] comes from a class of measure-preserving, piecewise linear transformations on [math]. If [math] is a Borel set and [math], the Poincaré recurrence time of [math] relative to [math] is defined to be the minimum of [math], if the minimum exists, and [math] otherwise. The mean of the recurrence time is finite and is given by Kac’s recurrence formula. In general, the standard deviation of the recurrence times need not be finite but, for the systems considered here, a bound for the standard deviation is derived.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-13T07:43:45Z
DOI: 10.1142/S1793557117500097
- Authors: Mimoon Ismael, Rodney Nillsen, Graham Williams
- On one class of commutative operads
- Authors: Alina Gaynullina
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study one class of commutative operads, namely, the operads of multidimensional (hollow) cubes in Euclidean spaces and their generalization. We describe the varieties of universal algebras rational equivalent to the varieties of algebras over commutative operads.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-13T07:43:44Z
DOI: 10.1142/S1793557117500073
- Authors: Alina Gaynullina
- Periodic shadowing and standard shadowing property
- Authors: Ali Darabi, Abdol-Mohammad Forouzanfar
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper we study the periodic shadowing properly and show that expansive dynamical systems that have the pseudo-orbit tracing properly (POTP) also have the periodic shadowing. In addition, the convers is proved for chain transitive systems.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-13T07:43:43Z
DOI: 10.1142/S1793557117500061
- Authors: Ali Darabi, Abdol-Mohammad Forouzanfar
- Twisted tensor biproduct monoidal Hom–Hopf algebras
- Authors: Tianshui Ma, Linlin Liu, Shaoxian Xu
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a monoidal Hom-bialgebra, [math] a monoidal Hom-algebra and a monoidal Hom-coalgebra. Let [math] and [math] be two linear maps. First, we construct the [math]-smash product monoidal Hom-algebra [math] and [math]-smash coproduct monoidal Hom-coalgebra [math]. Second, the necessary and sufficient conditions for [math] and [math] to be a monoidal Hom-bialgebra are obtained, which generalizes the results in [8, 11]. Lastly, we give some examples and applications.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-13T07:43:43Z
DOI: 10.1142/S1793557117500115
- Authors: Tianshui Ma, Linlin Liu, Shaoxian Xu
- Perfect codes in poset block spaces
- Authors: B. K. Dass, Namita Sharma, Rashmi Verma
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
There is a limited class of perfect codes with respect to the classical Hamming metric. There are other kind of metrics with respect to which perfect codes have been investigated viz. poset metric, block metric and poset block metric. Given the minimal elements of a poset, a necessary and sufficient condition for 1-perfectness of a poset block code has been derived. A necessary and sufficient condition for a poset block code to be [math]-perfect has also been considered. Further, for each [math], [math], a sufficient condition that ensures the existence of a poset block structure which turns a given code into an [math]-perfect poset block code has been obtained. Several illustrations of well known codes to be [math]-perfect for specific values of [math] have been explored.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-13T07:43:42Z
DOI: 10.1142/S179355711750005X
- Authors: B. K. Dass, Namita Sharma, Rashmi Verma
- On a generalization of the Gauss formula
- Authors: Marius Tărnăuceanu
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, we study a group theoretical generalization of the well-known Gauss formula, that uses the generalized Euler’s totient function introduced in [M. Tărnăuceanu, A generalization of the Euler’s totient function, Asian-Eur. J. Math. 8(4) (2015) 13, Article ID: 1550087].
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-13T07:43:42Z
DOI: 10.1142/S1793557117500085
- Authors: Marius Tărnăuceanu
- Diophantine quadruples and near-Diophantine quintuples from [math]
sequences- Authors: A. M. S. Ramasamy
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The question of a non-[math]-type [math] sequence wherein the fourth term shares the property [math] with the first term has not been investigated so far. The present paper seeks to fill up the gap in this unexplored area. Let [math] denote the set of all natural numbers and [math] the sequence of Fibonacci numbers. Choose two integers [math] and [math] with [math] such that their product increased by [math] is a square [math]. Certain properties of the sequence [math] defined by the relation am = F2m−2a2 − F2m−4a1 − (F2m−3 − Fm−32)∀m ≥ 3 are established in this paper and polynomial expressions for Diophantine quadruples from the [math] sequence [math] are derived. The concept of a near-Diophantine quintuple is introduced and it is proved that there exist an infinite number of near-Diophantine quintuples.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-05-13T07:43:41Z
DOI: 10.1142/S1793557117500103
- Authors: A. M. S. Ramasamy
- Rainbow reinforcement numbers in digraphs
- Authors: R. Khoeilar, S. M. Sheikholeslami
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
Let [math] be a finite and simple digraph. A [math]-rainbow dominating function ([math]RDF) of a digraph [math] is a function [math] from the vertex set [math] to the set of all subsets of the set [math] such that for any vertex [math] with [math] the condition [math] is fulfilled, where [math] is the set of in-neighbors of [math]. The weight of a [math]RDF [math] is the value [math]. The [math]-rainbow domination number of a digraph [math], denoted by [math], is the minimum weight of a [math]RDF of [math]. The [math]-rainbow reinforcement number [math] of a digraph [math] is the minimum number of arcs that must be added to [math] in order to decrease the [math]-rainbow domination number. In this paper, we initiate the study of [math]-rainbow reinforcement number in digraphs and we present some sharp bounds for [math]. In particular, we determine the 2-rainbow reinforcement number of some classes of digraphs.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-04-12T03:31:33Z
DOI: 10.1142/S1793557117500048
- Authors: R. Khoeilar, S. M. Sheikholeslami
- Weak and strong convergence theorems and a nonlinear ergodic theorem for
[math]-generalized hybrid mappings- Authors: Sattar Alizadeh, Fridoun Moradlou
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In this paper, assuming an appropriate condition, we prove that [math]-generalized hybrid mappings are demiclosed in Hilbert spaces. Using this fact, we prove a weak convergence theorem of Ishikawa type for these nonlinear mappings. Also, a strong convergence theorem of Halpern–Ishikawa type and a nonlinear ergodic theorem for [math]-generalized hybrid mappings have been proven in Hilbert spaces.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-04-12T03:31:33Z
DOI: 10.1142/S1793557117500012
- Authors: Sattar Alizadeh, Fridoun Moradlou
- Global dynamics of a stochastic ratio-dependent predator–prey system
- Authors: Xiaolin Fan, Zhidong Teng, Ahmadjan Muhammadhaji
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
The dynamical properties of a stochastic non-autonomous ratio-dependent predator–prey system are studied by applying the theory of stochastic differential equations, Itô’s formula and the method of Lyapunov functions. First, the existence, the uniqueness and the positivity of the solution are discussed. Second the boundedness of the moments and the upper bounds for growth rates of prey and predator are studied. Moreover, the global attractivity of the system under some a weaker sufficient conditions are investigated. Finally, the theoretical results are confirmed by the special examples and the numerical simulations.
Citation: Asian-European Journal of Mathematics
PubDate: 2016-04-12T03:31:33Z
DOI: 10.1142/S1793557117500024
- Authors: Xiaolin Fan, Zhidong Teng, Ahmadjan Muhammadhaji
- Discrete duality for 3-valued Łukasiewicz–Moisil algebras
- Authors: Gustavo Pelaitay
Abstract: Asian-European Journal of Mathematics, Ahead of Print.
In 2011, Düntsch and Orłowska obtained a discrete duality for regular double Stone algebras. On the other hand, it is well known that regular double Stone algebras are polinominally equivalent to [math]-valued Łukasiewicz–Moisil algebras (or LM3-algebras). In [R. Cignoli, Injective De Morgan and Kleene algebra, Proc. Amer. Math. Soc. 47 (1975) 269–278], LM3-algebras are considered as a Kleene algebras [math] endowed with a unary operation [math], satisfying the properties: [math] [math] and [math] Motivated by this result, in this paper, we determine another discrete duality for LM3-algebras, extending the discrete duality to De Morgan algebras described 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].
Citation: Asian-European Journal of Mathematics
PubDate: 2016-04-12T03:31:33Z
DOI: 10.1142/S1793557117500036
- Authors: Gustavo Pelaitay