ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 On Local Antimagic Chromatic Number of Graphs with Cut-vertices 1 17 EN Gee-Choon Lau Faculty of Computer & Mathematical Sciences, Universiti Teknologi MARA (UiTM) Malaysia geeclau@yahoo.com Y Wai-Chee Shiu Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong wcshiu@associate.hkbu.edu.hk N Ho-Kuen Ng Department of Mathematics, San José State University, San José CA 95192 USA ho-kuen.ng@sjsu.edu N 10.61186/ijmsi.19.1.1 An edge labeling of a connected graph G = (V, E) is said to be local antimagic if it is a bijection f:E →{1,... ,|E|} such that for any pair of adjacent vertices x and y, f+(x)≠ f+(y), where the induced vertex label f+(x)= ∑ f(e), with e ranging over all the edges incident to x.  The local antimagic chromatic number of G, denoted by Xla(G), is the minimum number of distinct induced vertex labels over all local antimagic labelings of G. In this paper, the sharp lower bound of the local antimagic chromatic number of a graph with cut-vertices given by pendants is obtained. The exact value of the local antimagic chromatic number of many families of graphs with cut-vertices (possibly given by pendant edges) are also determined. Consequently, we partially answered Problem 3.1 in [Local antimagic vertex coloring of a graph, Graphs and Combin., 33, (2017),  275--285]. Local antimagic labeling, Local antimagic chromatic number, Cut-vertices, Pendants. http://ijmsi.ir/article-1-1726-en.html http://ijmsi.ir/article-1-1726-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Monotone Orbitally Nonexpansive and Cyclic Mappings in Partially Ordered Uniformly Convex Banach Spaces 19 33 EN Moosa Gabeleh Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran Gabeleh@abru.ac.ir N Lotfollah Karimi Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran lkarimi@hut.ac.ir N Calogero Vetro Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123, Palermo, Italy calogero.vetro@unipa.it Y 10.61186/ijmsi.19.1.19 In the setting of uniformly convex Banach spaces equipped with a partially ordered relation, we survey the existence of fixed points for monotone orbitally nonexpansive mappings. In this way, we extend and improve the main results of Alfuraidan and Khamsi [M. R. Alfuraidan, M. A. Khamsi, Proc. Amer. Math. Soc., 146, (2018), 2451-2456]. Examples are given to show the usability of our main conclusions. We also study the existence of an optimal solution for cyclic contractions in such spaces. Best proximity point, T -cyclic contraction, Monotone orbitally nonexpansive mapping, Uniformly convex Banach space. http://ijmsi.ir/article-1-1729-en.html http://ijmsi.ir/article-1-1729-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Annihilators of Power Central Values of Generalized Skew Derivations on Lie Ideals 35 49 EN Nihan Baydar Yarbil Department of Mathematics, Ege University Bornova, Izmir 35100, Turkey nihan.baydar.yarbil@ege.edu.tr Y Nurcan Argaç Department of Mathematics, Ege University Bornova, Izmir 35100, Turkey nurcan.argac@ege.edu.tr N 10.61186/ijmsi.19.1.35 Let R be a prime ring with center Z(R) and G be a generalized α-derivation of R for  α∈ Aut(R). Let a ∈ R be a nonzero element and n be a fixed positive integer. (i) If aG(x)n ∈ Z(R) for all x ∈ R then aG(x) = 0 for all x ∈ R unless dimCRC = 4. (ii) If aG(x)n ∈ Z(R) for all x ∈ L, where L is a noncommutative Lie ideal of R then aG(x) = 0 for all x ∈ R unless dimCRC = 4. Prime ring, Lie ideal, Generalized skew derivation, Generalized derivation, Automorphism, Right Martindale quotient ring, Two-sided Martindale quotient ring, Generalized polynomial identity http://ijmsi.ir/article-1-1700-en.html http://ijmsi.ir/article-1-1700-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Tracial Cyclic Rokhlin Property for Automorphisms of Non-unital Simple C*-algebras 51 62 EN Saeid Jamali Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Iran saeid.jamali@modares.ac.ir Y 10.61186/ijmsi.19.1.51 The tracial cyclic Rokhlin property for automorphisms of simple not necessarily unital C*-algebras is investigated. We show that the tracial cyclic Rokhlin property is preserved by going to certain restrictions to subalgebras and taking direct limit or tensor products of actions. We also show that under certain conditions properties such as real rank zero, the tracial rank zero, stable rank one, (tracial) Z-stability, Property (SP), strict comparison on projections are passed to crossed products under automorphisms with the tracial cyclic Rokhlin property. Tracial cyclic Rokhlin property, Crossed product, Tracial rank, Property $(mathrm{T}_{k})$. http://ijmsi.ir/article-1-1372-en.html http://ijmsi.ir/article-1-1372-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Repdigits as Products of Consecutive Pell or Pell–Lucas Numbers 63 70 EN Eric F. Bravo Departamento de Matemáticas, Universidad del Cauca, Calle 5 No. 4–70, Popayán, Colombia jbravo@unicauca.edu.co Y Jhon J. Bravo Departamento de Matemáticas, Universidad del Cauca, Calle 5 No. 4–70, Popayán, Colombia eric.bravo@unad.edu.co N 10.61186/ijmsi.19.1.63 A positive integer is called a repdigit if it has only one distinct digit in its decimal expansion. In this paper, we find all repdigits that are products of consecutive Pell or Pell–Lucas numbers. This paper continues previous work which dealt with finding occurrences of repdigits in the Pell and Pell–Lucas sequences. p, li { white-space: pre-wrap; } Pell and Pell–Lucas number, Repdigit, Linear form in logarithms, Reduction method. http://ijmsi.ir/article-1-1746-en.html http://ijmsi.ir/article-1-1746-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 A Study of Metric Spaces of Interval Numbers in n-Sequences Defined by Orlicz Function 71 83 EN Sabiha Tabassum Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India sabiha.math08@gmail.com Y Ruqaiyya Fatma Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India ruqaiyyafatma@rediffmail.com N 10.61186/ijmsi.19.1.71 In recent years, a variety of work has been done in the field of single, double and triple sequences. Study on n-tuple sequence is new in this field. The main interest of this paper is to explore the idea of n-tuple sequences x = (xi_1,i_2,...,i_n) in metric spaces. We introduce the concept of n-sequence space of interval number and discussed its arithmetic properties. Furthermore, we combined the concept of Orlicz function, statistical convergence, interval number and n-sequence to construct some new nsequence spaces and discussed their properties. Some suitable examples for these spaces have been constructed. n-sequence, Statistical convergence, Interval number, Orlicz function. http://ijmsi.ir/article-1-1717-en.html http://ijmsi.ir/article-1-1717-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Unification of Generalized Open Sets with Respect to an Ideal 85 93 EN Chawalit Boonpok Mathematics and Applied Mathematics Research Unit Department of Mathematics, Faculty of Science, Mahasarakham University Mahasarakham, 44150, Thailand chawalit.b@msu.ac.th Y 10.61186/ijmsi.19.1.85 This paper deals with the concepts of Iµ-g-closed sets, Iµ-semi-open sets and Iµ-semi-preopen sets in ideal topological spaces and investigate several properties of these sets. Some characterizations of Iµ -regular spaces and Iµ-normal spaces are discussed. $mathscr{I}_mu$-g-closed set, $mathscr{I}_mu$-semi-open set, $mathscr{I}_mu$-semi-preopen set, $mathscr{I}_mu$-normal space, $mathscr{I}_mu$-regular space. http://ijmsi.ir/article-1-1723-en.html http://ijmsi.ir/article-1-1723-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Finite Groups with Specific Number of 2-Engelizers 95 105 EN Raheleh Khoshtarash Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran rakho86@gmail.com N Mohammad Reza Rajabzadeh Moghaddam Department of Mathematics, Khayyam University, Mashhad, Iran rezam@ferdowsi.um.ac.ir Y Mohammad Amin Rostamyari Department of Mathematics, Khayyam University, Mashhad, Iran m.a.rostamyari@khayyam.ac.ir N 10.61186/ijmsi.19.1.95 In 2016, the second and third authors introduced the notion of 2-Engelizer of the element x in a given group G and denoted the set of all 2-Engelizers in G by E2(G). They also constructed the possible values of |E2(G)| [Bull. Korean Math. Soc., 53(3), (2016), 657-665]. In the present paper, we classify all non 2-Engel finite groups G, when |E2(G)| = 4, 5. 2-Engelizer subgroup, 2-Engel element, 2-Engel group. http://ijmsi.ir/article-1-1691-en.html http://ijmsi.ir/article-1-1691-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 New Characterizations of Semisimple Alternative Algebras 107 115 EN Said Boulmane Department of Economic Sciences and Management Moulay Ismail University, Polydisciplinary Faculty, Errachidia-Morocco said.boulmane@gmail.com Y 10.61186/ijmsi.19.1.107 We give some new characterizations of semisimple alternative algebras among the pseudo-Euclidean alternative algebras. These charcterizations are based on the index of a pseudo Euclidean alternative algebra, operators of Casimir type and representations of alternative algebras. Pseudo-Euclidean alternative algebras, Semisimple alternative algebras, Index of pseudo Euclidean alternative algebras, Operators of Casimir type, Representations of alternative algebras. http://ijmsi.ir/article-1-1704-en.html http://ijmsi.ir/article-1-1704-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 A Parametric $ F_4 $ Algorithm 117 133 EN Mahdi Dehghani Darmain Department of Mathematics, Technical and Vocational University (TVU), Tehran, Iran m.dehghanidarmian@gmail.com Y Amir Hashemi Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, 84156-83111, Iran amir.hashemi@ipm.ir N 10.61186/ijmsi.19.1.117 In this paper, we present a parametric F4 algorithm (socalled PF4) which can be considered as a generalization of Faugére’s F4 algorithm [8] to polynomial ideals with parametric coefficients. Our approach is based on the F4 algorithm, Montes DisPGB algorithm [21] and the parametric linear algebra method developed in [6]. The PF4 algorithm takes as input a parametric polynomial ideal and two monomial orderings on the variables and the parameters and returns a Gröbner system of the ideal with respect to a compatible elimination product of the given monomial orderings. We have implemented our new algorithm in Maple and give timings to compare its performance with those of (our implementation) of the Kapur et al. algorithm [16] and the DisPGB algorithm [21]. Gröbner bases, Gröbner systems, F4 algorithm, PF4 algorithm, PGBMain algorithm, DisPGB algorithm. http://ijmsi.ir/article-1-1718-en.html http://ijmsi.ir/article-1-1718-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Approximating Fixed Points of Operators Satisfying the ($B_{gamma,mu}$) Condition 135 148 EN Kifayat Ullah Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat-28420, Khyber Pakhtunkhwa, Pakistan kifayatmath@yahoo.com Y Mujahid Abbas Department of Mathematics, Government College University, Lahore 54000, Pakistan abbas.mujahid@gmail.com N Junaid Ahmad Department of Mathematics and Statistics, International Islamic University, H-10, Islamabad - 44000, Pakistan ahmadjunaid436@gmail.com N Fayyaz Ahmad Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat-28420, Khyber Pakhtunkhwa, Pakistan fayyaz.rana83@gmail.com N 10.61186/ijmsi.19.1.135 Suppose C is any nonempty subset of a Banach space X. A mapping T : C → C is said to satisfy condition (Bγ,µ) if there exists γ ∈ [0, 1] and µ ∈ [0, 1 /2 ] with 2µ ≤ γ such that for each two elements x, y ∈ C, γ||x - T x|| ≤ ||x - y|| + µ||y - T y|| implies ||T x - T y|| ≤ (1 - γ)||x - y|| + µ(||x - T y|| + ||y - T x||). In this research, we suggest some convergence results for these mappings under a up-to-date iterative process in a Banach space setting. Our results are new and improve some known results of the literature. Condition $(B_{gamma,mu})$, Condition (I), Convergence result, K* iteration, Banach space. http://ijmsi.ir/article-1-1714-en.html http://ijmsi.ir/article-1-1714-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 A Note on Acyclic Coloring of Strong Product of Graphs 149 160 EN P Shanas Babu Department of Mathematics, National Institute of Technology, Calicut, Kerala, India-673601 babushanas@gmail.com Y Chithra A V Department of Mathematics, National Institute of Technology, Calicut, Kerala, India-673601 chithra@nitc.ac.in N 10.61186/ijmsi.19.1.149 A vertex coloring of a graph G is called acyclic if no two adjacent vertices have the same color and no cycle in G is bichromatic. The acyclic chromatic number a(G) of a graph G is the least number of colors in an acyclic coloring of G. In this paper, we obtain bound for the acyclic chromatic number of the strong product of a tree and a graph. An exact value for the acyclic chromatic number of the strong product of two trees is derived. Further observations are made on the upper bound for the strong product of three paths. Strong product of graphs, Acyclic coloring, Acyclic chromatic number. http://ijmsi.ir/article-1-1743-en.html http://ijmsi.ir/article-1-1743-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Multiresolution Analysis on Sobolev Space over Local Fields of Positive Characteristic and Characterization of Scaling Function 161 174 EN Ashish Pathak Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi-221005, India ashishpathak@bhu.ac.in Y Dileep Kumar Department of Applied Science and Humanities (Mathematics), GL Bajaj Institute of Technology and Management, Greater Noida-201306, India dkbhu07@gmail.com N 10.61186/ijmsi.19.1.161 A general concept of wavelets and multiresolution analysis on Sobolev space over local fields of positive characteristic (Hs(K)) is given. A characterization of the scaling functions associated with an MRA is also given. Wavelets, Multiresolution analysis, Local fields, Sobolev space, Fourier transform. http://ijmsi.ir/article-1-1443-en.html http://ijmsi.ir/article-1-1443-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Darbo Type Best Proximity Point Results via R-function using Measure of Noncompactness with an Application 175 192 EN Pradip Ramesh Patle Department of Mathematics, Visvesvaraya National Institute of Technology, Nagpur-440010, India deepesh456@gmail.com Y Deepesh Kumar Patel Department of Mathematics School of Advanced Sciences, VIT-AP University, Amravati-522237, Andhra Pradesh pradip.patle12@gmail.com N 10.61186/ijmsi.19.1.175 The concept of measure of noncompactness (MNC) allows us to select an important class of mappings which are more general than compact operators. The proposed work exploits the axiomatic definitio of MNC and introduces the notion of relatively nonexpansive cyclic (noncyclic) SR-condensing operators along with the aid of SR-functions. The first phase of the paper concentrates on establishing the best proximity point (pair) theorems for such operators. The main results in this manuscript extend and generalize several state of art literature on Darbo type fixed point results. In the second phase, proposed results are applied to show the actuality of optimum solutions for system of second order differential equations with two initial conditions. Darbo fixed point theorem, Best proximity point, Measure of noncompactness, R-function. http://ijmsi.ir/article-1-1750-en.html http://ijmsi.ir/article-1-1750-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 Fourier Method For an Existence of Quasilinear Inverse Pseudo-Parabolic Equation 193 209 EN Irem Baglan Department of Mathematics, Kocaeli University, Kocaeli 41380, Turkey isakinc@kocaeli.edu.tr N Fatma Kanca Department of Computer Engineering, Fenerbahce University, Istanbul, Turkey fatma.kanca@fbu.edu.tr N Vishnu Narayan Mishra Mishra Department of Mathematics, Indira Gandhi National Tribal University, Lalpur, Amarkantak, Anuppur, Madhya Pradesh 484 887, India vishnunarayanmishra@gmail.com Y 10.61186/ijmsi.19.1.193 In this work, the inverse quasi-linear pseudo-parabolic problem was investigated. We demonstrated the solution by the Fourier approximation. The inverse problem was first examined by linearizing and then used implicit finite difference schema for the numerical solution. Pseudo-parabolic problem, Fourier method, Nonlocal(periodic) boundary condition, Implicit method. http://ijmsi.ir/article-1-1757-en.html http://ijmsi.ir/article-1-1757-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 First and Second Order Optimality Conditions using Approximations for Fractional Multiobjective Bilevel Problems under Fractional Constraints 211 232 EN Lafhim Lahoussine LASMA Laboratory, Faculty of Sciences Dhar El Mehrez, Sidi Mohammed Ben Abdelah University, Department of Mathematics, Fes, Morocco lafhim68@gmail.com Y 10.61186/ijmsi.19.1.211 In this paper, first and second order optimality conditions using the concept of approximations are developed for an optimistic fractional multiobjective bilevel problem with non-convex lower level problem. Our idea is based on using the properties of approximations in nonsmooth analysis and a separation theorem in convex analysis. All over the article, the data is assumed to be continuous but not necessarily Lipschitz. Fractional Bilevel programming, Optimal value function, Second order approximation, Optimality conditions, Multiobjective optimization. http://ijmsi.ir/article-1-1758-en.html http://ijmsi.ir/article-1-1758-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 19 1 2024 4 1 ABSTRACTS IN PERSIAN Vol. 19, No. 1 233 249 EN The Name of Authors in this Volume Academic Center for Education, Culture and Research (ACECR) ma.hoseinzade@gmai.com Y Please see the full text contains the Persian abstracts of this volume. ABSTRACTS, PERSIAN, Vol. 19, No. 1. http://ijmsi.ir/article-1-2647-en.html http://ijmsi.ir/article-1-2647-en.pdf