About the journal
ABOUT THIS JOURNAL
Journal of Linear and Topological Algebra (JLTA) is an international mathematical journal founded at the middle of 2012. This journal is published by the IAU, Central Tehran Branch, and it appears four times a year (March, June, September, December). Articles that have previously been published, fully or in part, in a conference proceedings or else, should not be submitted to Journal of Linear and Topological Algebra for publication. All papers published by Journal of Linear and Topological Algebra are rigorously peer reviewed, free of charge and open access.
AIM AND SCOPE
Journal of Linear and Topological Algebra publishes original papers that advance study of linear algebra, topological algebras and their numerous applications. Particularly papers are sought that contribute new information to one of the fields of functional analysis and operator theory, convex analysis, matrix analysis, control and optimization, combinatorial linear algebra, ring theory and module theory, numerical linear algebra or immediate application of any of these fields to other branches of mathematics, including (but not limited to), differential equations, mathematical physics, geometry and probability.
NEW News (2023)
Also, according to Islamic World Science Citation Center (ISC), the Journal of Linear and Topological Algebra has been received new Quartiles and impact factor for year 2022, which it can be found in News section.
NEW News (2022)
Dear Researchers
It is our pleasure to inform you that the Journal of Linear and Topological Algebra has been received a Digital Article ID (DOI) from MEDRA International Institute. All published articles will get a DOI from 2022.
NEW News (2022)
Dear Researchers
It is our pleasure to inform you that the Journal of Linear and Topological Algebra has been included in the list of scientific Journals of Ministry of Science, Research and Technology (MSRT) and has been obtained a new rank in 2022. Please, see https://journals.msrt.ir/home/detail/11611/.
NEW News (2021)
Dear Researchers
It is our pleasure to inform you that the Journal of Linear and Topological Algebra has been included in the list of scientific Journals of Ministry of Science, Research and Technology (MSRT) and has been obtained a new rank. Also, our journal has been received a Digital Object Recognizer (DOR) from ISC since 2020. Moreover, we will add DOR in the PDF file of each published paper from 2021 (issue 4).
Please, follow on us in the following addresses:
NEW comments and Editorial Board decisions (2021)
Please, before submitting a paper, see the section of guide for authors and read the following parts.
1. From 2021, this journal will accept Research papers, Review papers and Short communications. Also, we will check the novelty of all submitted papers by iThenticate (http://www.ithenticate.com/) against plagiarism. Note that the similarities above 25% will not be accepted for the review process.
2. It is not allowed to have more than two submitted papers in one time, including papers with different coauthors. During the submission process, the corresponding author has to insert all names of coauthors keeping the order of names in the same way as it is in the submitted PDF file. Note that the changes of names or orders of names and the changes of the corresponding author will not be done after accepting a paper.
3. Before submitting a paper, please prepare your manuscript according to the Guide for Authors. The Managing Editor will check your submission and will back it if you don't consider all of the essentials. Also, accepted papers will be published if the corresponding author sends both completed Copyright and Conflict-of-Interest forms.
4. The standard abbreviation form for this title is "J. Linear. Topological. Algebra.". If you need to cite this journal, please use this abbreviated form.
5. Since JLTA wants to register for the evaluation by ESCI-WOS and SCOPUS, please seriously avoid of self-citation and consider a special journal in your references.
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Open Access Article
1 - Some results on graded $S$-strongly prime submodules
F. FarzalipourIssue 1 , Vol. 13 , Winter 2024Let $G$ be a group with identity $e$ and $R$ be a commutative $G$-graded ring with nonzero identity, $S\subseteq h(R)$ a multiplicatively closed subset of $R$ and $M$ be a graded $R$-module. A graded submodule $N$ of $M$ with $(N:_{R}M)\cap S=\emptyset$ is said to MoreLet $G$ be a group with identity $e$ and $R$ be a commutative $G$-graded ring with nonzero identity, $S\subseteq h(R)$ a multiplicatively closed subset of $R$ and $M$ be a graded $R$-module. A graded submodule $N$ of $M$ with $(N:_{R}M)\cap S=\emptyset$ is said to be graded $S$-strongly prime if there exists $s\in S$ such that whenever $((N+Rx_{g}):_{R}M)y_{h}\subseteq N$, then $sx_{g}\in N$ or $sy_{h}\in N$ for all $x_{g},y_{h}\in h(M)$. The aim of this paper is to introduce and investigate some basic properties of the notion of graded $S$-strongly prime submodules, especially in graded multiplication modules. Moreover, we investigate the behaviour of this structure under graded module homomorphisms, localizations of graded modules, quotient graded modules, Cartesian product. Manuscript profile -
Open Access Article
2 - New lower bound for numerical radius for off-diagonal $2\times 2$ matrices
B. Moosavi M. Shah HosseiniIssue 1 , Vol. 13 , Winter 2024New norm and numerical radius inequalities for operators on Hilbert space are given. Among other inequalities, we prove that if $ A, B \in B(H) $, then \[\Vert A \Vert - \frac{3 \Vert A-B^* \Vert }{2} \leq \omega\left(\left[\begin{array}{cc} 0 & A \\ B & 0 \end{array}\r MoreNew norm and numerical radius inequalities for operators on Hilbert space are given. Among other inequalities, we prove that if $ A, B \in B(H) $, then \[\Vert A \Vert - \frac{3 \Vert A-B^* \Vert }{2} \leq \omega\left(\left[\begin{array}{cc} 0 & A \\ B & 0 \end{array}\right]\right).\] Moreover, $\omega(AB) \leq \frac{3}{2} \Vert Im(A) \Vert \Vert B \Vert + D_{B}\; \omega(A) $. In particular, if $ A $ is self-adjointable, then $\omega(AB) \leq D_{B} \Vert A \Vert$, where $D_{B}=\underset{\lambda \in \mathbb{C}}{\mathop{\inf}}\,\left\| B-\lambda I \right\|$. Manuscript profile -
Open Access Article
3 - Graphical cyclic $\mathcal{J}$-integral Banach type mappings and the existence of their best proximity points
K. Fallahi S. JalaliIssue 1 , Vol. 13 , Winter 2024The underlying aim of this paper is first to state the cyclicversion of $\mathcal{J}$-integral Banach type contractive mappings introduced by Fallahi, Ghahramani and Soleimani Rad[Integral type contractions in partially ordered metric MoreThe underlying aim of this paper is first to state the cyclicversion of $\mathcal{J}$-integral Banach type contractive mappings introduced by Fallahi, Ghahramani and Soleimani Rad[Integral type contractions in partially ordered metric spaces and best proximity point, Iran. J. Sci. Technol. Trans. Sci. 44 (2020), 177-183] and second to show the existence of best proximity points for such contractive mappings in a metric space with a graph, which can entail a large number of former best proximity point results. One fundamental issue that can be distinguished between this work and previous researches is that it can also involve all of results stated by taking comparable and $\vartheta$-close elements. Manuscript profile -
Open Access Article
4 - On the results of proving the equivalence of $\mathcal{T}$-contractive mappings
S. S. KarimizadIssue 1 , Vol. 13 , Winter 2024The main goal of this paper is to compare the proof of the existence and uniqueness of fixed points for $\mathcal{T}$-contractive mappings in various metric spaces and different distances regarding some techniques in mathematical analysis. Also, several comparisons to s MoreThe main goal of this paper is to compare the proof of the existence and uniqueness of fixed points for $\mathcal{T}$-contractive mappings in various metric spaces and different distances regarding some techniques in mathematical analysis. Also, several comparisons to show the efficiency of the obtained result will be considered. Manuscript profile -
Open Access Article
5 - Some categorical aspects of coarse proximity spaces
Gh. MirhosseinkhaniIssue 1 , Vol. 13 , Winter 2024In this paper, we study some categorical structures of the category $\mathbf{CoarsePro}$, whose objects are coarse proximity spaces and whose morphisms are coarse proximity maps. We investigate the structure of initial, final, embedding and quotient morphisms in the con MoreIn this paper, we study some categorical structures of the category $\mathbf{CoarsePro}$, whose objects are coarse proximity spaces and whose morphisms are coarse proximity maps. We investigate the structure of initial, final, embedding and quotient morphisms in the construct $\mathbf{CoarsePro}$. A special attention is paid to investigate quotients by introducing some conditions that they exist. Also, it is shown that bimorphisms are exactly bijective coarse proximity maps, but not isomorphisms. Consequently, $\mathbf{CoarsePro}$ is not balanced. Manuscript profile
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Open Access Article
1 - Bornological linearly topologized modules over a discrete valuation ring
D. P. Pombo Jr.Issue 2 , Vol. 11 , Spring 2022‎In this work the notion of a bornological linearly topologized mo\-dule over a discrete valuation ring is introduced and it is shown that certain semimetrizable linearly topologized modules are bornological‎. ‎The main result is a characterization of bornol More‎In this work the notion of a bornological linearly topologized mo\-dule over a discrete valuation ring is introduced and it is shown that certain semimetrizable linearly topologized modules are bornological‎. ‎The main result is a characterization of bornological linearly topologized modules‎, ‎from which the completeness and the quasi-completeness of certain linearly topologized modules of continuous linear mappings are derived. Manuscript profile -
Open Access Article
2 - Hybrid linesearch algorithm for pseudomonotone equilibrium problem and fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings
M. H. Harbau B. AliIssue 2 , Vol. 10 , Spring 2021In this paper, we introduce a linesearch algorithm for solving fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings and pseudomonotone equilibrium problem in reflexive Banach space. Using the linesearch method, we prove a strong convergence of MoreIn this paper, we introduce a linesearch algorithm for solving fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings and pseudomonotone equilibrium problem in reflexive Banach space. Using the linesearch method, we prove a strong convergence of the iterative scheme to a common point in the set of solutions of some equilibrium problem and common fixed point of the finite family of Bregman quasi asymptotically nonexpansive multivalued mappings with out imposing Bregman Lipschitz condition on the bifunction $g$ as used by many authors in the extragradient method. Our results improve and generalize many recent results in the literature. Manuscript profile -
Open Access Article
3 - A generalization of weighted versions of the determinant, permanent and the generalized inverse of rectangular matrices
M. BayatIssue 3 , Vol. 11 , Summer 2022In this paper, we first generalized the weighted versions of determinants, permanents and the generalized inverses of rectangular matrices. We also investigate some of their algebraic properties. As a by product of the above investigation, we then present a determinanta MoreIn this paper, we first generalized the weighted versions of determinants, permanents and the generalized inverses of rectangular matrices. We also investigate some of their algebraic properties. As a by product of the above investigation, we then present a determinantal representation for the general and Moore-Penrose inverses which satisfy on certain conditions. Finally, we give a general algorithm for determining the inverse of some certain class of the rectangular matrices defined based on weighted determinants. Manuscript profile -
Open Access Article
4 - Some applications of basic operations in Clifford algebra
T. Manzoor A. Akg\"{u}lIssue 2 , Vol. 11 , Spring 2022Geometric algebra provides intuitive and easy description of geometric entities (encoded by blades) along with different operations and orthogonal transformations. Grassmann's Exterior and Hamilton's quaternions lead to the existence of Clifford (Geometric) algebra. Cli MoreGeometric algebra provides intuitive and easy description of geometric entities (encoded by blades) along with different operations and orthogonal transformations. Grassmann's Exterior and Hamilton's quaternions lead to the existence of Clifford (Geometric) algebra. Clifford or geometric product has its significant role in whole domain of Clifford algebra, while as contraction (anti outer product or analogous to dot product) is grade reduction operation. The other operations can be derived from the former one. The paper explores elucidation of Clifford algebra and Clifford product with some salient features and applications. Manuscript profile -
Open Access Article
5 - On the h-Jensen's operator inequality
S. S. Hashemi Karouei M. S. Asgari M. Shah Hosseini N. Ghafoori AdlIssue 2 , Vol. 11 , Spring 2022‎In this paper‎, ‎we prove Jensen's operator inequality for an h-convex function and we point out the results for classes of continuous‎ ‎fields of operators‎. ‎Also‎, ‎some generalizations of Jensen's operator inequality and some pro More‎In this paper‎, ‎we prove Jensen's operator inequality for an h-convex function and we point out the results for classes of continuous‎ ‎fields of operators‎. ‎Also‎, ‎some generalizations of Jensen's operator inequality and some properties of the h-convex function are given‎. Manuscript profile -
Open Access Article
6 - Application of algebraic-ring in key exchange protocol
J. Sharafi H. DaghighIssue 1 , Vol. 11 , Winter 2022‎In this article‎, ‎we present a non-interactive key exchange protocol with a faster run time‎, ‎which is based on a Module-LWE‎. ‎The Structure of protocol is designed just by relating the error vectors of both sides‎, ‎without any u More‎In this article‎, ‎we present a non-interactive key exchange protocol with a faster run time‎, ‎which is based on a Module-LWE‎. ‎The Structure of protocol is designed just by relating the error vectors of both sides‎, ‎without any use of a reconciliation mechanism‎. ‎The idea is that as error vectors get closer to each other the success probability of the protocol increases‎. ‎The innovation in this scheme is the use of high-order bits in the keys computed by both sides‎. ‎Compared to the existing lattice-based key-exchange protocols‎, ‎this scheme leads to lower computational complexity and longer parameters‎. Manuscript profile -
Open Access Article
7 - Topologically simple semihypergroup
H. JafarabadiIssue 3 , Vol. 11 , Summer 2022In this note, we introduce the concept of topologically simple semihypergroup and determine when topological simplicity of a complete subsemihypergroup of a semihypergroup implies its simplicity from algebraic point of view.In this note, we introduce the concept of topologically simple semihypergroup and determine when topological simplicity of a complete subsemihypergroup of a semihypergroup implies its simplicity from algebraic point of view. Manuscript profile -
Open Access Article
8 - Self-dual double cyclic codes over $\mathbb{Z}_2$
H. Movahedi L. PourfarajIssue 4 , Vol. 10 , Autumn 2021A double cyclic code (or \emph{DC code}) of length $n=k+l$ over $\mathbb{Z}_2$ is a binary linear code, where any cyclic shift of the first $k$ coordinates and the last $l$ coordinates of a codeword is also a codeword. In this paper, we study the relationship between se MoreA double cyclic code (or \emph{DC code}) of length $n=k+l$ over $\mathbb{Z}_2$ is a binary linear code, where any cyclic shift of the first $k$ coordinates and the last $l$ coordinates of a codeword is also a codeword. In this paper, we study the relationship between separability and self-duality of these codes. Also, we obtain the shadow code by determining the generator polynomials of the doubly even subcode of the self-dual code. Manuscript profile -
Open Access Article
9 - $\mathcal{E}$-metric spaces and common fixed point theorems
F. Yousefi H. Rahimi G. Soleimani RadIssue 3 , Vol. 11 , Summer 2022In this work we review some common fixed point theorems for four mappings without appealing to continuity in $\mathcal{E}$-metric spaces, where the metric is Riesz space valued. These results cover well-known comparable results in the existing literature by considering MoreIn this work we review some common fixed point theorems for four mappings without appealing to continuity in $\mathcal{E}$-metric spaces, where the metric is Riesz space valued. These results cover well-known comparable results in the existing literature by considering fewer conditions. Manuscript profile -
Open Access Article
10 - Reverses of the first Hermite-Hadamard type inequality for the square operator modulus in Hilbert spaces
S. S. DragomirIssue 1 , Vol. 11 , Winter 2022‎Let $\left( H;\left\langle \cdot‎ ,‎\cdot \right\rangle \right)$ be a complex‎ ‎Hilbert space‎. ‎Denote by $\mathcal{B}\left( H\right)$ the Banach $C^{\ast }$-‎algebra of bounded linear operators on $H$‎. ‎For $A\in \mathcal{B}\l More‎Let $\left( H;\left\langle \cdot‎ ,‎\cdot \right\rangle \right)$ be a complex‎ ‎Hilbert space‎. ‎Denote by $\mathcal{B}\left( H\right)$ the Banach $C^{\ast }$-‎algebra of bounded linear operators on $H$‎. ‎For $A\in \mathcal{B}\left(‎H\right)$ we define the modulus of $A$ by $\left\vert A\right\vert‎ :‎=\left(‎A^{\ast }A\right) ^{1/2}$ and \ $\func{Re}A:=\frac{1}{2}\left( A^{\ast‎‎}+A\right)‎.‎$ In this paper we show among other that‎, ‎if $A,$ $B\in \mathcal{‎‎B}\left( H\right)$ with $0\leq m\leq \left\vert \left( 1-t\right)‎‎A+tB\right\vert ^{2}\leq M$ for all $t\in \left[ 0,1\right]‎,‎$ then \begin{align*}‎ ‎0& \leq \int_{0}^{1}f\left( \left\vert \left( 1-t\right) A+tB\right\vert‎‎^{2}\right) dt-f\left( \frac{\left\vert A\right\vert ^{2}+\func{Re}\left(‎‎B^{\ast }A\right)‎ +‎\left\vert B\right\vert ^{2}}{3}\right) \\‎ ‎& \leq 2\left[ \frac{f\left( m\right)‎ +‎f\left( M\right) }{2}-f\left( \frac{‎m+M}{2}\right) \right] 1_{H}‎ ‎\end{align*} ‎for operator convex functions $f:[0,\infty )\rightarrow \mathbb{R}$‎. ‎Applications for power and logarithmic functions are also provided‎. Manuscript profile
