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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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:S. Khalil, B.-W. Schulze Abstract: Asian-European Journal of Mathematics, Ahead of Print. We establish a calculus of boundary value problems (BVPs) on a manifold [math] with boundary and edge, based on Boutet de Monvel’s theory of BVPs in the case of a smooth boundary and on the edge calculus, where in the present case the model cone has a base which is a compact manifold with boundary. The corresponding calculus with boundary and edge is a unification of both structures and controls different operator-valued symbolic structures, in order to obtain ellipticity and parametrices. Citation: Asian-European Journal of Mathematics PubDate: 2017-03-31T09:32:03Z DOI: 10.1142/S1793557117500875

Authors:Tran Le Nam 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

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: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: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: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: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:Ioannis K. Argyros, Santhosh George 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

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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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: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

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

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: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