Central Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070120180301Preclosure operator and its applications in general topology19539112ENA. A. NasefDepartment of Physics and Engineering Mathematics, Faculty of Engineering, Kafr El-Sheikh University, Kafr El-Sheikh, EgyptS. JafariCollege of Vestsjaelland South,
Herrestraede 11, 4200 Slagelse, DenmarkM. CaldasDepartamento de Mathematica Aplicada, Universidade Federal Fluminense, Rua Mario Santos Braga, s/n24020-140, Niteroi, RJ BrasilR. M. LatifDepartment of Mathematics and statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaA. A. AzzamDepartment of Mathematics, Faculty of Science, Assuit University, New Valley, EgyptJournal Article20160718In this paper, we show that a pointwise symmetric pre-isotonic preclosure function is uniquely determined the pairs of sets it separates. We then show that when the preclosure function of the domain is pre-isotonic and the pre-closure function of the codomain is pre-isotonic and pointwise-pre-symmetric, functions which separate only those pairs of sets which are already separated are precontinuous.http://jlta.iauctb.ac.ir/article_539112_84a8805135ae21260c5ffc3d8ce51df2.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070120180301On characterizations of weakly $e$-irresolute functions1119536903ENM. OzkocDepartment of Mathematics, Faculty of Science, Mugla Sıtkı Kocman University, 48000 Mentese-Mugla, Turkey0000-0003-0068-7415T. YilmazDepartment of Mathematics, Faculty of Science, Mugla Sıtkı Kocman University, 48000 Mentese-Mugla, TurkeyJournal Article20170219The aim of this paper is to introduce and obtain some characterizations of weakly $e$-irresolute functions by means of $e$-open sets defined by Ekici [6]. Also, we look into further properties relationships between weak $e$-irresoluteness and separation axioms and completely $e$-closed graphs.http://jlta.iauctb.ac.ir/article_536903_dae09200aa891339af46549a6e8ff54f.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070120180301Transformations computations: Power, Roots and Inverse2138539207ENM. GhorbanzadehDepartment of Basic Science, Imam Reza International University, Mashhad, IranH. KamaliDepartment of Pure Mathematics, Ferdowsi University of Mashhad, Mashhad, IranA. MansooriDepartment of Applied Mathematics, Ferdowsi University of Mashhad, Mashhad, IranJournal Article20170223This paper presents some results of an annihilated element in Banach algebra, and in specific case, for any square matrix. The developed method significantly improves the computational aspects of transformations calculus and especially for finding powers and roots of any annihilated element. An example is given to compare the proposed method with some other methods to show the efficiency and performance.http://jlta.iauctb.ac.ir/article_539207_5e76d0613d06753b6f468324082ead9d.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070120180301Applications of fuzzy $e$-open sets3951536120ENA. VadivelDepartment of Mathematics, Mathematics Section, FEAT, Annamalai University, Annamalai Nagar, Tamil Nadu-608 002, IndiaB. VijayalakshmiDepartment of Mathematics, Mathematics Section, FEAT, Annamalai University,
Annamalai Nagar, Tamil Nadu-608 002, IndiaJournal Article20170323The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$- limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets.http://jlta.iauctb.ac.ir/article_536120_046f80a3744e1220c92bae91041431f2.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070120180301Symbolic computation of the Duggal transform5362537429END. PappasDepartment of Statistics, Athens University of Economics and Business, 76 Patission Str, 10434, Athens, Greece0000-0001-9415-1392V. KatsikisDepartment of Economics, Division of Mathematics and Informatics, National and Kapodistrian University of Athens, Athens, GreeceI. StanimirovicDepartment of Computer Science, Faculty of Science and Mathematics, University of Nis,
Visegradska 33, 18000 Nis, SerbiaJournal Article20171109Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical characteristics. The introduced algorithm is proven and illustrated in numerical examples. We also represent symbolically the Duggal transform of rank-one matrices using cross products of vectors and show that the Duggal transform of such matrices can be given explicitly by a closed formula and is equal to its Aluthge transform.http://jlta.iauctb.ac.ir/article_537429_36b78ed1e22d6fc72c1005afdf82e78f.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070120180301$ast$-K-g-Frames in Hilbert $mathcal{A}$-modules6371539208ENM. RossafiDepartment of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, Morocco0000-0002-5662-6921S. KabbajDepartment of Mathematics, University of Ibn Tofail, B.P. 133, Kenitra, MoroccoJournal Article20171226In this paper, we introduce the concepts of $ast$-K-g-Frames in Hilbert $mathcal{A}$-modules and we establish some results.http://jlta.iauctb.ac.ir/article_539208_64524ac63ff1c353736617e761631a0f.pdfCentral Tehran Branch, Islamic Azad UniversityJournal of Linear and Topological Algebra (JLTA)2252-0201070120180301Corrigendum to "On $(sigma, tau)$-module extension Banach algebras"7374536805ENM. FozouniDepartment of Mathematics, Gonbad Kavous University, P.O. Box 163, Gonbad Kavous,
Golestan, IranJournal Article20171003In this corrigendum, we give a correction of one result in reference [1].http://jlta.iauctb.ac.ir/article_536805_52e16c803541cbfd004fbe4f71305dd1.pdf