Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 08 01 2019 02 01 *-frames in Hilbert modules over pro-C*-algebras 1 10 546045 EN M. Naroei Irani Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran A. Nazari Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran Journal Article 2018 05 03 ‎In this paper‎, ‎by using the sequence of multipliers‎, ‎we introduce frames with algebraic bounds in Hilbert pro-\$ C^* \$-modules‎. ‎We investigate the relations between frames and \$ ast \$-frames‎. ‎Some properties of \$ ast \$-frames in Hilbert pro-\$ C^* \$-modules are studied‎. ‎Also‎, ‎we show that there exist two differences between \$ ast \$-frames in Hilbert pro-\$ C^* \$-modules and Hilbert \$ C^* \$-modules‎. ‎Finally‎, ‎dual \$ ast \$-frames in Hilbert pro-\$ C^* \$-modules are presented‎. http://jlta.iauctb.ac.ir/article_546045_e96bf32e50443e8f6acdb364aca06159.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 08 01 2019 02 01 Albertson energy and Albertson Estrada index of graphs 11 24 546046 EN A. Jahanbani Department of Mathematics, Shahrood University of Technology, Shahrood, Iran Journal Article 2018 07 07 ‎Let \$G\$ be a graph of order \$n\$ with vertices labeled as \$v_1‎, ‎v_2,dots‎ , ‎v_n\$‎. ‎Let \$d_i\$ be the degree of the vertex \$v_i\$ for \$i = 1‎, ‎2‎, ‎cdots‎ , ‎n\$‎. ‎The Albertson matrix of \$G\$ is the square matrix of order \$n\$ whose \$(i‎, ‎j)\$-entry is equal to \$|d_i‎ - ‎d_j|\$ if \$v_i \$ is adjacent to \$v_j\$ and zero‎, ‎otherwise‎. ‎The main purposes of this paper is to introduce the Albertson energy and Albertson-Estrada index of a graph‎, ‎both base on the eigenvalues of the Albertson matrix‎. ‎Moreover‎, ‎we establish upper and lower bounds for these new graph invariants and relations between them‎‎. http://jlta.iauctb.ac.ir/article_546046_a9e9d6f8e6b5ede19ce15c13c7ad337c.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 08 01 2019 02 01 On some forms of e*-irresoluteness 25 39 546047 EN M. Ozkoc Department of Mathematics, Faculty of Science, Mugla Sitki Kocman University 48000 Mentese-Mugla, Turkey 0000-0003-0068-7415 K. Sarıkaya Atasever Department of Mathematics, Faculty of Science, Mugla Sitki Kocman University 48000 Mentese-Mugla, Turkey Journal Article 2018 07 12 ‎The main goal of this paper is to introduce and study two new class of functions‎, ‎called weakly \$e^*\$-irresolute functions and strongly \$e^*\$-irresolute functions‎, ‎via the notion of \$e^*\$-open set defined by Ekici . ‎We obtain several fundamental properties and characterizations of these functions‎. ‎Moreover‎, ‎we investigate not only some of their basic properties but also their relationships with other types of already existing topological functions‎. http://jlta.iauctb.ac.ir/article_546047_1ef1763e9a39324adebbee1e1ee28976.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 08 01 2019 02 01 System of AQC functional equations in non-Archimedean normed spaces 41 52 546048 EN H. Majani Department of Mathematics‎, ‎Shahid Chamran University of Ahvaz‎, ‎Ahvaz‎, ‎Iran Journal Article 2018 08 27 ‎In 1897‎, ‎Hensel introduced a normed space which does‎ ‎not have the Archimedean property‎. ‎During the last three decades‎ ‎theory of non--Archimedean spaces has gained the interest of‎ ‎physicists for their research in particular in problems coming‎ ‎from quantum physics‎, ‎p--adic strings and superstrings‎. ‎In this paper‎, ‎we prove‎ ‎the generalized Hyers--Ulam--Rassias stability for a‎ ‎system of additive‎, ‎quadratic and cubic functional equations in‎ ‎non--Archimedean normed spaces‎. http://jlta.iauctb.ac.ir/article_546048_2fdf05eeac66432df83b60a0d4ee321f.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 08 01 2019 02 01 On a generalization of central Armendariz rings 53 61 546049 EN M. Sanaei Department of Mathematics, Islamic Azad University, Central Tehran Branch, 13185/768, Iran Sh. Sahebi Department of Mathematics, Islamic Azad University, Central Tehran Branch, 13185/768, Iran H. H. S. Javadi Department of Mathematics and Computer Science, Shahed University, Tehran, Iran Journal Article 2018 09 01 In this paper, some properties of \$alpha\$-skew Armendariz and central Armendariz rings have been studied by variety of others. We generalize the notions to central \$alpha\$-skew Armendariz rings and investigate their properties. Also, we show that if \$alpha(e)=e\$ for each idempotent \$e^{2}=e in R\$ and \$R\$ is \$alpha\$-skew Armendariz, then \$R\$ is abelian. Moreover, if \$R\$ is central \$alpha\$-skew Armendariz, then \$R\$ is right p.p-ring if and only if \$R[x;alpha]\$ is right p.p-ring. Then it is proved that if \$alpha^{t}=I_{R}\$ for some positive integer \$t\$, \$ R \$ is central \$ alpha \$-skew Armendariz if and only if the polynomial ring \$ R[x] \$ is central \$ alpha \$-skew Armendariz if and only if the Laurent polynomial ring \$R[x,x^{-1}]\$ is central \$alpha\$-skew Armendariz.‎ http://jlta.iauctb.ac.ir/article_546049_b05fa8f6b29802cf5dccd132040d5f9d.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 08 01 2019 02 01 On \$beta-\$topological vector spaces 63 70 546091 EN S. Sharma Department of Mathematics, University of Jammu, JK-18006, India M. Ram Department of Mathematics, University of Jammu, JK-18006, India. Journal Article 2018 09 01 We introduce and study a new class of spaces, namely \$beta-\$topological vector spaces via \$beta-\$open sets. The relationships among these spaces with some existing spaces are investigated. In addition, some important and useful characterizations of \$beta-\$topological vector spaces are provided.<br />   http://jlta.iauctb.ac.ir/article_546091_417a50ad8772e4b4ae1129cce46d4286.pdf
Central Tehran Branch, Islamic Azad University Journal of Linear and Topological Algebra (JLTA) 2252-0201 08 01 2019 02 01 Solving fractional evolution problem in Colombeau algebra by mean generalized fixed point 71 84 546134 EN M. Elomari Department of Mathematics, Faculty of Sciences and Technics, Beni-Mellal, Morocco S. Melliani Department of Mathematics, Faculty of Sciences and Technics, Beni-Mellal, Morocco A. Taqbibt Department of Mathematics, Faculty of Sciences and Technics, Beni-Mellal, Morocco S. Chadli Department of Mathematics, Faculty of Sciences and Technics, Beni-Mellal, Morocco Journal Article 2018 07 13 ‎The present paper is devoted to the existence and uniqueness result of the fractional evolution equation \$D^{q}_c u(t)=g(t,u(t))=Au(t)+f(t)\$‎ ‎for the real \$qin (0,1)\$ with the initial value \$u(0)=u_{0}intilde{R}\$‎, ‎where \$tilde{R}\$ is the set of all generalized real numbers and \$A\$ is an operator defined from \$mathcal G\$ into itself‎. Here the Caputo fractional derivative \$D^{q}_c\$ is used instead of the usual derivative. The introduction of locally convex spaces is to use their topology in order to define generalized semigroups and generalized fixed points, then to show our requested result. http://jlta.iauctb.ac.ir/article_546134_8de4872e1cbbac914e7141b51317202c.pdf