ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 On Lah-Ribarič Inequality Involving Averages of Convex Functions 1 12 EN Ana Vukelić Faculty of Food Technology and Biotechnology, Mathematics Department, University of Zagreb, Croatia ana.vukelic@pbf.unizg.hr Y 10.61186/ijmsi.19.2.1 By using the integral arithmetic mean and the Lah-Ribarič inequality we give the extension of Wulbert’s result from [15]. Also, we obtain inequalities with divided differences using the Lah-Ribarič inequality. As a consequence, the convexity of higher order for function defined by divided difference is proved. Further, we construct a new family of exponentially convex functions and Cauchy-type means by exploring at linear functionals with the obtained inequalities. Lah-Ribarič inequality, Divided differences, n-convex function, (n, m)-convex function, Exponential convexity. http://ijmsi.ir/article-1-1522-en.html http://ijmsi.ir/article-1-1522-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 The Zariski Topology on Cl.Spec_g(M) as a Spectral Space 13 39 EN Malik Jaradat Department of Mathematics, The International School of Choueifat, UAE mjaradat@mhs.sabis.net Y 10.61186/ijmsi.19.2.13 Let G be a group, R be a G-graded commutative ring with identity, M be a unitary graded R-module, Specg(R) be the set of graded prime ideals of R, and Cl.Specg(M) be the set of all graded classical prime submodules of M. In this paper among other things, the author studied the Zariski topology on both and Cl.Specg(M), and investigate some properties of the Zariski topology on Cl.Specg(M) and some conditions under which the graded classical prime spectrum of M is a spectral for its Zariski topology. Graded classical prime submodule, Graded classical prime spectrum, Zariski topology. http://ijmsi.ir/article-1-1638-en.html http://ijmsi.ir/article-1-1638-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 On bi–bases of Γ–semihypergroups 41 50 EN Apipray Sarakam Department of Mathematics, Faculty of Science, Buriram Rajabhat University, Buriram, Thailand, 31000 apiplay0805@gmail.com N Pongpich Kothep Department of Mathematics, Faculty of Science, Buriram Rajabhat University, Buriram, Thailand, 31000 Pongpich.iot@bru.ac.th N Samkhan Hobanthad Department of Mathematics, Faculty of Science, Buriram Rajabhat University, Buriram, Thailand, 31000 samkan.hb@bru.ac.th Y 10.61186/ijmsi.19.2.41 This paper focuses on the Γ–semihypergroups. Our goal seeks to find the conditions of sub–Γ–semihypergroup using bi–bases properties. We provide definitions and explain some properties of bi–bases in Γ– semihypergroups. The findings extend the results from bi–bases of Γ– semigroups. The findings demonstrate that if B is a bi–bases of a Γ– semihypergroup H; then, B is a sub–Γ–semihypergroup of H if and only if for any b, c ∈ B and γ ∈ Γ, b ∈ bγc or c ∈ bγc. Γ–semihypergroup, bi–bases, sub–Γ–semihypergroup. http://ijmsi.ir/article-1-1763-en.html http://ijmsi.ir/article-1-1763-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 G-Injective Envelope of Separable G-C*-algebras 51 60 EN Ali Mahmoodi Department of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University(IAU), Tehran, Iran mahmoodi326@gmail.com N Mohammad R. Mardanbeigi Department of Mathematics, Faculty of Science, Science and Research Branch, Islamic Azad University(IAU), Tehran, Iran mrmardanbeigi@srbiau.ac.ir Y 10.61186/ijmsi.19.2.51 Argerami and Farenick have found conditions for the injective envelope of a separable C∗-algebra to be a von Neumann algebra. In this paper, we introduce an equivalent version of this result by finding conditions for the G-injective envelope of a separable G-C∗-algebra A to be a von Neumann algebra, when G is a discrete group acting on A. G-W*-algebra, G-AW*-algebra, G-Injective envelope, G-Regular monotone completion, Type I C*-algebra, G-invariant Essential ideal, G-Local multiplier algebra, Discrete group. http://ijmsi.ir/article-1-1760-en.html http://ijmsi.ir/article-1-1760-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 Coupled Coincidence and Coupled Common Fixed Points of (ψ, ϕ) Contraction Type T-coupling in Metric Spaces 61 75 EN Fuad Abdulkerim Department of Mathematics, Jimma University, Ethiopia Fuadabdulkerim993@gmail.com N Kidane Koyas Department of Mathematics, Jimma University, Ethiopia kidanekoyas@yahoo.com Y Solomon Gebregiorgis Department of Mathematics, Jimma University, Ethiopia solomonggty@gmail.com N 10.61186/ijmsi.19.2.61 In this paper, we define (ψ, ϕ)-Contraction Type T-coupling, establish a theorem satisfying such contraction condition, and prove the existence and uniqueness of coupled coincidence and coupled common fixed points in metric space. Here ψ and ϕ are two altering distance functions and T is a SCC-Map for metric spaces. Our results extend and generalize several related results in the existing literature. We also provided two examples to verify our main results. Coupled coincidence point, Coupled common fixed Point, (ψ, ϕ)-Contraction Type T-coupling, SCC-Map. http://ijmsi.ir/article-1-1468-en.html http://ijmsi.ir/article-1-1468-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 A Class of Commutative Semirings with Stable Range 2 II 77 93 EN Elham Mehdi-Nezhad Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, Cape Town, South Africa emehdinezhad@uwc.ac.za N Amir M. Rahimi School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran amrahimi@ipm.ir Y 10.61186/ijmsi.19.2.77 The notion and some properties of (strongly) B-rings, in a natural way, are extended to (strongly) B- and (strongly) BJ-semirings which is somewhat similar to the notion of rings having stable range 2. Results are given showing the connection between several types of semirings whose finite sequences satisfy some stability condition, some involving the Jacobson k-radical of the semiring R. Besides some examples and other results, it is shown that R[x], the semiring of polynomials over a semiring R, is not a B-semiring (consequently, not a strongly B-semiring) when R is a zerosumfree semiring. We also study some algebraic properties of the S-relative B- and BJ-semirings with respect to a nonempty subset S of R. (Strongly) B- and (Strongly) B_J-semirings, S-relative B- and Srelative B_J-semirings, Subtractive ideal (= k-ideal), Simple semiring, Gelfand semiring, Polynomial semiring, Stable range of a commutative semiring. http://ijmsi.ir/article-1-1770-en.html http://ijmsi.ir/article-1-1770-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 Nonuniform Semi-orthogonal Wavelet Frames on Non-Archimedean Local Fields of Positive Characteristic 95 109 EN Owais Ahmad Department of Mathematics, National Institute of Technology, Srinagar-190006, Jammu and Kashmir, India siawoahmad@gmail.com Y Neyaz Ahmad Department of Mathematics, National Institute of Technology, Srinagar-190006, Jammu and Kashmir, India neyaznit@yahoo.co.in N 10.61186/ijmsi.19.2.95 In this paper, we introduce the notion of nonuniform semiorthogonal wavelet frame associated with nonuniform frame multiresolution analysis on non-Archimedean fields and provide their characterization by means of some basic equations in the frequency domain. Nonuniform semi-orthogonal wavelet frame, Fourier transform, Non-Archimedean field. http://ijmsi.ir/article-1-1774-en.html http://ijmsi.ir/article-1-1774-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 Behavior of the Solutions of a Single-species Population Model with Piecewise Constant Argument 111 117 EN Mehtap Lafci Büyükkahraman Department of Mathematics, Usak University, Usak, 64200, Turkiye mehtap.lafci@usak.edu.tr Y 10.61186/ijmsi.19.2.111 In this paper, we consider a population model with piecewise constant argument and show that every nonoscillatory solution approaches the equilibrium point as t tends to infinity. Moreover, we investigate every positive solution of the model that oscillates about the positive equilibrium point. Also, we give two examples to support the theorems. Piecewise constant argument, Difference equation, Oscillation. http://ijmsi.ir/article-1-1781-en.html http://ijmsi.ir/article-1-1781-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 Rotundity of Quotient Spaces in Metric Linear Spaces 119 126 EN Shelly Garg Department of Mathematics, DAV University, Jalandhar-144 012, India shellygarg24@gmail.com N Harpreet K. Grover Department of Mathematics, Guru Nanak Dev University, Amritsar-143 005, India harpreetgr@gmail.com Y T. D. Narang Department of Mathematics, Guru Nanak Dev University, Amritsar-143 005, India tdnarang1948@yahoo.co.in N 10.61186/ijmsi.19.2.119 In this paper, we discuss the inheritance of strict convexity, uniform convexity and local uniform convexity by the quotient spaces of metric linear spaces. We also show that, as in the case of normed linear spaces, completeness is a three- space property in metric linear spaces as well. Metric linear space, Strict convexity, Uniform convexity, Local uniform convexity, Three-space property. http://ijmsi.ir/article-1-1776-en.html http://ijmsi.ir/article-1-1776-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 Numerical Approach of Cattaneo Equation with Time Caputo-Fabrizio Fractional Derivative 127 153 EN Zoleikha Soori Department of Mathematics, K. N. Toosi University of Technology, P. O. Box: 1676-53381, Tehran, Iran zsoori@mail.kntu.ac.ir Y Azim Aminataei Department of Mathematics, K. N. Toosi University of Technology, P. O. Box: 1676-53381, Tehran, Iran ataei@kntu.ac.ir N 10.61186/ijmsi.19.2.127 In the paper, we consider a type of Cattaneo equation with time fractional derivative without singular kernel based on fourth-order compact finite difference (CFD) in the space directions. In case of two dimensional, two alternating direction implicit (ADI) methods are proposed to split the equation into two separate one dimensional equations. The time fractional derivation is described in the Caputo-Fabrizio’s sense with scheme of order O(τ2). The solvability, unconditional stability and H1 norm convergence of the scheme are proved. Numerical results confirm the theoretical results and the effectiveness of the proposed scheme. Caputo-Fabrizio fractional derivative, Compact finite difference, Cattaneo equation, Alternating direction implicit method. http://ijmsi.ir/article-1-1783-en.html http://ijmsi.ir/article-1-1783-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 A Hybrid Method to Systems of Fredholm Integral Differential Equations 155 167 EN Jafar Biazar Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan, Rasht, Iran biazar@guilan.ac.ir Y yalda Parvari Moghaddam Department of Applied Mathematics, University Campus 2, University of Guilan, Rasht, Iran yaldaparvari.m@gmail.com N Khadijeh Sadri Mathematics Research Center, Near East University TRNC, Mersin 10, Nicosia 99138, Turkey khadijeh.sadrikhatouni@neu.edu.tr N 10.61186/ijmsi.19.2.155 The method used in this research consists of a hybrid of the Block-Pulse functions and third-kind Chebyshev polynomials for solving systems of Fredholm integral differential equations. Through the use of an operational matrix representing the derivation, the problem is represented by a system of algebraic equations. Some examples are provided to illustrate the simplicity and effectiveness of the utilized method. In addition, results of the presented method have been compared with those obtained from the Tau method and variational iteration method that reveal the proposed scheme to be more applicable. System of Fredholm integral differential equations, Hybrid method, Block-pulse functions, Third-kind Chebyshev polynomials, Operational matrix. http://ijmsi.ir/article-1-1800-en.html http://ijmsi.ir/article-1-1800-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 On a Group of the Form $2^{4+5}:GL(4,2)$ 169 188 EN A. B. M. Basheer School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), P Bag X1106, Sovenga 0727, South Africa ayoubbasheer@gmial.com Y J. Moori School of Mathematical and Statistical Sciences, PAA Focus Area, North-West University (Mahikeng), P. Bag X2046, Mmabatho 2790, South Africa jamshid.moori@nwu.ac.za N A. L. Prins Department of Pure and Applied Mathematics, University of Fort Hare, Alice, 5700, South Africa aprins@ufh.ac.za N T. T. Seretlo School of Mathematical and Statistical Sciences, PAA Focus Area, North-West University (Mahikeng), P. Bag X2046, Mmabatho 2790, South Africa thekiso.seretlo@ul.ac.za N 10.61186/ijmsi.19.2.169 The affine general linear group 25:GL(5, 2) of GL(6, 2) has 6 conjugacy classes of maximal subgroups. The largest two maximal subgroups are of the forms 21+8:GL(4, 2) and 24+5:GL(4, 2). In this article we consider the group 24+5:GL(4, 2), which we denote by ${bar G}$. Firstly we determine its conjugacy classes using the coset analysis technique. The structures of the inertia factor groups are also determined. We then compute all the Fischer matrices and apply the Clifford-Fischer theory to compute the ordinary character table of ${bar G}$. Using information on conjugacy classes, Fischer matrices and both ordinary and projective character tables of the inertia factor groups, we concluded that we need to use the ordinary character tables of all the inertia factor groups to construct the character table of ${bar G}$. The character table of ${bar G}$ is a 75×75 complex valued matrix and we supply it (in the format of Clifford-Fischer theory) at the end of this paper as Table 6. Group extensions, General linear group, Character table, Inertia factor groups, Fischer matrices. http://ijmsi.ir/article-1-1950-en.html http://ijmsi.ir/article-1-1950-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 A Necessary Condition for Zero Divisors in Complex Group Algebra of Torsion-Free Groups 189 194 EN Alireza Abdollahi Department of Pure Mathematics, Faculty of Mathematics and Statistics, University of Isfahan, Isfahan, Iran 81746-73441 a.abdollahi@math.ui.ac.ir N Meisam Soleimani Malekan Department of Mathematics, Faculty of Science, Shahid Rajaee Teacher Training University, Tehran, 16785-136, Iran msmalekan@gmail.com Y 10.61186/ijmsi.19.2.189 It is proved that if $sum_{gin G} a_g g$ is a non-zero zero divisor element of the complex group  algebra $mathbb{C}G$ of a torsion-free group G then  $2sum_{gin G} |a_g|^2 Hilbert space $ell^2(G)$, Complex group algebras, Zero divisor conjecture, Torsion-free groups. http://ijmsi.ir/article-1-2047-en.html http://ijmsi.ir/article-1-2047-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 Pointwise Inner and Center Actors of a Lie Crossed Module 195 206 EN M. Jamshidi Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran mehdijamshidi44@yahoo.com N F. Saeedi Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran saeedi@mashdiau.ac.ir Y 10.61186/ijmsi.19.2.195 Let L be a Lie crossed module and Actpi(L) and Actz(L) be the pointwise inner actor and center actor of L, respectively. We will give a necessary and sufficient condition under which Actpi(L) and Actz(L) are equal. Pointwise Inner, Crossed Module, Center Actor. http://ijmsi.ir/article-1-1811-en.html http://ijmsi.ir/article-1-1811-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 Generalized Kernels of Subsets through Ideals in Topological Spaces 207 221 EN José Sanabria Departamento de Matematicas, Facultad de Educacion y Ciencias, Universidad de Sucre, Sincelejo, Colombia jesanabri@gmail.com Y Laura Maza Maestrıa en Ciencias Matematicas, Facultad de Ciencias Basicas, Universidad del Atlantico, Barranquilla, Colombia lamar_91-10@hotmail.com N Ennis Rosas Departamento de Ciencias Naturales y Exactas, Universidad de la Costa, Barranquilla, Colombia ennisrafael@gmail.com N Carlos Carpintero Departamento de Ciencias Basicas, Corporacion Universitaria del Caribe-CECAR, Sincelejo, Colombia carpintero.carlos@gmail.com N 10.61186/ijmsi.19.2.207 In this research work, we introduce a generalization of the notion of kernel of a set in topological spaces endowed with an ideal, which is a fundamental tool to obtain new modifications of open sets and closed sets. Using this generalized kernel, we define and characterize new low separation axioms in other contexts obtained from a topological space endowed with an ideal. Also, we study the invariance of these low separation axioms under certain types of continuity defined in this novel theoretical framework. Topological kernel, Ideals, Co-local function, $(tau^{star},tau^{bullet})$-g-closed set, $mathcal{I}$-$lambda$-closed set. http://ijmsi.ir/article-1-1820-en.html http://ijmsi.ir/article-1-1820-en.pdf

ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 2 2024 9 1 ABSTRACTS IN PERSIAN Vol. 19, No. 2 223 238 EN The Name of Authors in this Volume Academic Center for Education, Culture and Research (ACECR) ma.hoseinzade@gmail.com Y Please see the full text contains the Persian abstracts of this volume. ABSTRACTS, PERSIAN, Vol. 19, No. 2. http://ijmsi.ir/article-1-2744-en.html http://ijmsi.ir/article-1-2744-en.pdf