##### Volume 1 (2013-2014)
 Facts & Figures Number of Volumes 8 Number of Issues 15 Number of Articles 118 Number of Contributors 186 Article View 110,908 PDF Download 93,074 View Per Article 939.9 PDF Download Per Article 788.76 Number of Submissions 494 Rejected Submissions 293 Reject Rate 59 Accepted Submissions 138 Acceptance Rate 28 Number of Indexing Databases 11 Number of Reviewers 1048 Accept Date (Days) 258

The Journal of Algebraic Systems (JAS) is a Mathematical publication of the Shahrood University of Technology in English. that is founded in 2013. It publishes high-quality original research articles in all research areas that have a significant bearing on algebraic systems. Topics covered include:

Algebra, Linear Algebra and its applications, Combinatorics and Algebraic Combinatorics, Coding Theory, Cryptography, Algebraic Topology, Algebraic Geometry,  Banach Algebras.

JAS is an open access journal. There is no publication charge.  JAS publishes 2 issues in each year.

All type papers published by JAS are made freely and permanently accessible online immediately upon publication. JAS is an "Open access" publishing allows an immediate, world-wide, barrier-free, open access to the full text of research papers, which is in the best interests of the scientific community.

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Journal of Algebraic Systems (JAS) has been accepted for inclusion in Elsevier’s Scopus database since 2019. We encourage all authors to submit their high quality papers to this journal.

##### 1. MULTIPLICATION MODULES THAT ARE FINITELY GENERATED

Y. Tolooei

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 1-5

##### Abstract
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N = IM$. It is shown that over a Noetherian domain $R$ with dim$(R)\leq 1$, multiplication modules ...  Read More

##### 2. CLASSICAL 2-ABSORBING SECONDARY SUBMODULES

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 7-15

##### Abstract
‎In this work‎, ‎we introduce the concept of classical 2-absorbing secondary modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of this class of modules‎. ‎Let $R$ be a commutative ring with‎ ‎identity‎. ‎We ...  Read More

##### 3. ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS

M. R. Ahmadi Zand; S. Rostami

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 17-26

##### Abstract
Abstract. A topological group H is called ω -narrow if for every neighbourhood V of it’s identity element there exists a countable set A such that V A = H = AV. A semigroup G is called a generalized group if for any x ∈ G there exists a unique element e(x) ∈ G such that xe(x) = ...  Read More

##### 4. A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS

R. Khosravi; M. Roueentan

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 27-37

##### Abstract
In this paper, we investigate po-purity using ﬁnitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly ﬁnitely presented S-posets to characterize absolutely pure S-posets. Similar to the acts, every finitely presented ...  Read More

##### 5. ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE

M. H. LABBAF Ghasemi Zavareh; N. Eftekhari; A. Bayati Eshkaftaki

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 39-51

##### Abstract
‎In this work‎, ‎we investigate admitting center map on multiplicative metric space‎ ‎and establish some fixed point theorems for such maps‎. ‎We modify the Banach contraction principle and‎ ‎the Caristi's fixed point theorem for M-contraction admitting center maps ...  Read More

##### 6. PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE

H. Bijari; K. Khashyarmanesh; H. Fazaeli Moghim

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 53-68

##### Abstract
‎‎Let $R$ be a commutative ring with identity and let $M$ be an $R$-module‎. ‎We define the primary spectrum of $M$‎, ‎denoted by $\mathcal{PS}(M)$‎, ‎to be the set of all primary submodules $Q$ of $M$ such that $(\operatorname{rad}Q:M)=\sqrt{(Q:M)}$‎. ‎In this ...  Read More

##### 7. $\varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS

A. Ghaffari; S. Javadi Syahkale; E. Tamimi

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 69-82

##### Abstract
In this paper we define $\varphi$-Connes module amenability of a dual Banach algebra $\mathcal{A}$ where $\varphi$ is a bounded $w_{k^*}$-module homomorphism from $\mathcal{A}$ to $\mathcal{A}$. We are mainly concerned with the study of $\varphi$-module normal virtual diagonals. We show that if $S$ is ...  Read More

##### 8. THE (△,□)-EDGE GRAPH G△,□ OF A GRAPH G

Gh. A. Nasiriboroujeni; M. Mirzavaziri; A. Erfanian

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 83-93

##### Abstract
To a simple graph $G=(V,E)$, we correspond a simple graph $G_{\triangle,\square}$ whose vertex set is $\{\{x,y\}: x,y\in V\}$ and two vertices $\{x,y\},\{z,w\}\in G_{\triangle,\square}$ are adjacent if and only if $\{x,z\},\{x,w\},\{y,z\},\{y,w\}\in V\cup E$. The graph $G_{\triangle,\square}$ is called ...  Read More

##### 9. ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]

M. Seidali Samani; K. Bahmanpour

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 95-102

##### Abstract
Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of local cohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp. R⊂R[[X]]). By using this extension we will present some of the faithfulness ...  Read More

##### 10. A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 103-111

##### Abstract
Let G be a finite group , in this paper using the order and largest element order of G we show that every ﬁnite group with the same order and largest element order as G 2 (q), where q  11 is necessarily isomorphic to the group G 2 (q)  Read More

##### 11. A GENERALIZATION OF PRIME HYPERIDEALS

M. Anbarloei

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 113-127

##### Abstract
‎‎Let $R$ be a multiplicative hyperring‎. In this paper‎, ‎we introduce and study the concept of n-absorbing hyperideal which is a generalization‎ ‎of prime hyperideal‎. ‎A proper hyperideal $I$ of $R$ is called an $n$-absorbing hyperideal of ‎$‎R‎$‎ ...  Read More

##### 12. WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES

Volume 8, Issue 1 , Summer and Autumn 2020, Pages 129-140

##### Abstract
‎‎The tensor product is the fundemental ingredient for extending one-dimensional techniques of filtering and compression in signal preprocessing to higher dimensions‎. ‎Woven frames play ‎ a crucial role in signal preprocessing and distributed data processing‎. Motivated by these ...  Read More

##### 1. A NEW PROOF OF THE PERSISTENCE PROPERTY FOR IDEALS IN DEDEKIND RINGS AND PR¨UFER DOMAINS

Volume 1, Issue 2 , Winter and Spring 2014, , Pages 91-100

##### Abstract
In this paper, by using elementary tools of commutative algebra, we prove the persistence property for two especial classes of rings. In fact, this paper has two main sections. In the first main section, we let $R$ be a Dedekind ring and $I$ be a proper ideal of $R$. We prove that if $I_1,\ldots,I_n$ ...  Read More

##### 2. f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS

L. Kamali Ardakani; Bijan Davvaz

Volume 1, Issue 1 , Summer and Autumn 2013, , Pages 11-31

##### Abstract
Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples. Moreover, as a generalization of derivations of $MV$ -algebraswe introduce the notion of $f$-derivations and $(f; g)$-derivations ...  Read More

##### 3. UPPER BOUNDS FOR FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Moharram Aghapournahr

Volume 1, Issue 1 , Summer and Autumn 2013, , Pages 1-9

##### Abstract
Let $R$ be a commutative Noetherian ring with non-zero identity and $a$ an ideal of $R$. Let $M$ be a finite $R$--moduleof finite projective dimension and $N$ an arbitrary finite $R$--module. We characterize the membership of the generalized local cohomology modules $H^{i}_{a}(M,N)$ in certain Serre ...  Read More

##### 4. GENERALIZATIONS OF δ-LIFTING MODULES

Yahya Talebi; Mehrab Hosseinpour

Volume 1, Issue 1 , Summer and Autumn 2013, , Pages 67-77

##### Abstract
In this paper we introduce the notions of $G_{1}^{*}L$-module and $G_{2}^{*}L$-module which are two proper generalizations of $\delta$-lifting modules. We give some characterizations and properties of these modules. We show that a$G_{2}^{*}L$-module decomposes into a semisimple submodule $M_{1}$ and ...  Read More

##### 5. ON SELBERG-TYPE SQUARE MATRICES INTEGRALS

Volume 1, Issue 1 , Summer and Autumn 2013, , Pages 53-65

##### Abstract
In this paper we consider Selberg-type square matrices integrals with focus on Kummer-beta types I & II integrals. For generality of the results for real normed division algebras, the generalized matrix variate Kummer-beta types I & II are defined under the abstract algebra. Then Selberg-type ...  Read More

Publisher:
Shahrood University of Technology

Editor-in-Chief:
Ebrahim Hashemi

Managing Editor:
Abdollah Alhevaz

Manager:
Ali Meskaryan

Print ISSN: 2345-5128

Online ISSN: 2345-511X