Journal of Linear and Topological Algebra (JLTA)Journal of Linear and Topological Algebra (JLTA)
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Sat, 23 Jun 2018 06:24:23 +0100FeedCreatorJournal of Linear and Topological Algebra (JLTA)
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Feed provided by Journal of Linear and Topological Algebra (JLTA). Click to visit.Preclosure operator and its applications in general topology
http://jlta.iauctb.ac.ir/article_539112_115391.html
In 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.Wed, 28 Feb 2018 20:30:00 +0100On characterizations of weakly $e$-irresolute functions
http://jlta.iauctb.ac.ir/article_536903_115391.html
The 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.Wed, 28 Feb 2018 20:30:00 +0100Transformations computations: Power, Roots and Inverse
http://jlta.iauctb.ac.ir/article_539207_115391.html
‎This 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.Wed, 28 Feb 2018 20:30:00 +0100Applications of fuzzy $e$-open sets
http://jlta.iauctb.ac.ir/article_536120_115391.html
The 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.Wed, 28 Feb 2018 20:30:00 +0100Symbolic computation of the Duggal transform
http://jlta.iauctb.ac.ir/article_537429_115391.html
Following 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.Wed, 28 Feb 2018 20:30:00 +0100$\ast$-K-g-Frames in Hilbert $\mathcal{A}$-modules
http://jlta.iauctb.ac.ir/article_539208_115391.html
In this paper, we introduce the concepts of $ast$-K-g-Frames in Hilbert $mathcal{A}$-modules and we establish some results.Wed, 28 Feb 2018 20:30:00 +0100Corrigendum to "On $(\sigma, \tau)$-module extension Banach algebras"
http://jlta.iauctb.ac.ir/article_536805_115391.html
In this corrigendum, we give a correction of one result in reference [1].Wed, 28 Feb 2018 20:30:00 +0100