##### Volume 1 (2013-2014)
 Facts & Figures Number of Volumes 10 Number of Issues 20 Number of Articles 178 Number of Contributors 291 Article View 149,304 PDF Download 121,797 View Per Article 838.79 PDF Download Per Article 684.25 Number of Submissions 647 Rejected Submissions 364 Reject Rate 56 Accepted Submissions 192 Acceptance Rate 30 Number of Indexing Databases 12 Number of Reviewers 1224 Accept Date (Days) 260

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.

##### ON THE COMPUTATIONAL COMPLEXITY ASPECTS OF PERFECT ROMAN DOMINATION

Volume 10, Issue 2 , January 2023, Pages 189-202
##### Abstract
‎A perfect Roman dominating function (PRDF) on a graph $G$ is a function $f:V(G)\to \{0,1,2\}$ satisfying the condition that every vertex $u$ with $f(u) = 0$ is adjacent to exactly one vertex $v$ for which $f(v) = 2$‎. ‎The weight of a PRDF $f$ is the sum of the weights of the vertices under ...  Read More

##### r-CLEAN RINGS RELATIVE TO RIGHT IDEALS

H. Ibrahim Hakmi; B. Ali Alussein

Volume 10, Issue 2 , January 2023, Pages 203-224
##### Abstract
Abstract.An associative ring R with identity is called r¡clean ring if everyelement of R is the sum of a regular and an idempotent element. In this paper,we introduce the concept of r-clean rings relative to right ideal. We studyvarious properties of these rings. We give some relations between ...  Read More

I. Akray; Sh. Othman; A. Jabbar; H. Hussein

Volume 10, Issue 2 , January 2023, Pages 225-243
##### Abstract
Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$. We introduce graded $I-$prime ideals (submodules) as a generalizations of the classical notions of prime ideals ...  Read More

##### FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS

Volume 10, Issue 2 , January 2023, Pages 245-258
##### Abstract
Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local cohomology module H_φ^i (M, N) , in certain cases.  Read More

##### ON HOMOLOGICAL CLASSIFICATION OF MONOIDS BY CONDITION (PWPsc) OF RIGHT ACTS

Volume 10, Issue 2 , January 2023, Pages 259-283
##### Abstract
In this paper, we introduce Condition (PWPsc) as a generalization of Condition (PWP_E) of acts over monoids, and we observe that Condition (PWPsc) does not imply Condition (PWP_E). In general, we show that Condition (PWPsc) implies the property of being principally weakly flat, and that in left PSFmonoids, ...  Read More

##### INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS

R. A. Borzooei; X. L. Xin; Y. B. Jun

Volume 10, Issue 2 , January 2023, Pages 285-297
##### Abstract
The notion of commutative falling intuitionistic fuzzy ideal of a BCK-algebra is introduced and related properties are investigated. We verify that every commutative intuitionistic fuzzy ideal is a commutative falling intuitionistic fuzzy ideal, and provide example to show that a commutative falling ...  Read More

##### ON DETERMINING THE DISTANCE SPECTRUM OF A CLASS OF DISTANCE INTEGRAL GRAPHS

Seyed M. Mirafzal; R. Kogani

Volume 10, Issue 2 , January 2023, Pages 299-308
##### Abstract
The distance eigenvalues of a connected graph $G$ are the eigenvalues of its distance matrix‎‎$D(G)$‎. ‎A graph is called distance integral if all of its‎‎distance eigenvalues are integers.‎‎Let $n$ and $k$ be integers with $n>2k‎, ‎k\geq1$‎. ‎The bipartite ...  Read More

##### ON THE PATH HYPEROPERATION AND ITS CONNECTIONS WITH HYPERGRAPH THEORY

R. Bayat Tajvar; M. Latifi

Volume 10, Issue 2 , January 2023, Pages 309-321
##### Abstract
In this paper, we introduce a path hyperoperation associated with a hypergraph,which is an extension of the Corsini’s hyperoperation.We investigate some related properties and study relations betweenthe path hyperoperation and hypergraph theory.  Read More

##### A NOTE ON Cc(X) VIA A TOPOLOGICAL RING

R. Mohamadian; M. Namdari; H. Najafian; S. Soltanpour

Volume 10, Issue 2 , January 2023, Pages 323-334
##### Abstract
Let $C_c(X)$ (resp., $C_c^*(X)$) denote the functionallycountable subalgebra of $C(X)$ (resp., $C^*(X)$),consisting of all functions (resp., bounded functions) with countable image.$C_c(X)$ (resp., $C_c^*(X)$) as a topological ring via $m_c$-topology (resp., $m^*_c$-topology) and $u_c$-topology (resp., ...  Read More

##### PERFECTNESS OF THE ANNIHILATOR GRAPH OF ARTINIAN COMMUTATIVE RINGS

Volume 10, Issue 2 , January 2023, Pages 335-343
##### Abstract
‎Let $R$ be a commutative ring and $Z(R)$ be the set of its zero-divisors‎.‎The annihilator graph of $R$‎, ‎denoted by $AG(R)$ is a simple undirected graph whose vertex‎‎set is $Z(R)^*$‎, ‎the set of all nonzero zero-divisors of $R$‎, ‎and two distinct vertices ...  Read More

##### A GRAPH ASSOCIATED TO FILTERS OF A LATTICE

Sh. Ebrahimi Atani; M. Khoramdel; S. Dolati Pish Hesari; M. Nikmard Rostamalipour

Volume 10, Issue 2 , January 2023, Pages 345-359
##### Abstract
Let $L$ be a lattice with the least element $0$ and the greatest element $1$. In this paper, we associate a graph to filters of $L$, in which the vertex set is being the set of all non-trivial filters of $L$, and two distinct vertices $F$ and $E$ are adjacent if and only if $F \cap E \neq \{1\}$. We ...  Read More

##### WEAKLY BAER RINGS

S. Mehralinejadian; A. Moussavi; Sh. Sahebi

Volume 10, Issue 2 , January 2023, Pages 361-374
##### Abstract
We say a ring R with unity is left weakly Baer if the left annihilatorof any nonempty subset of R is right s-unital by right semicentral idempotents,which implies that R modulo the left annihilator of any nonempty subset isﬂat. It is shown that, unlike the Baer or right PP conditions, the weaklyBaer ...  Read More

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

Volume 1, Issue 2 , January 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

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

L. Kamali Ardakani; Bijan Davvaz

Volume 1, Issue 1 , September 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

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

Moharram Aghapournahr

Volume 1, Issue 1 , September 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

##### GENERALIZATIONS OF δ-LIFTING MODULES

Yahya Talebi; Mehrab Hosseinpour

Volume 1, Issue 1 , September 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

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

Volume 1, Issue 1 , September 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

Frequency: Semiannual

Print ISSN: 2345-5128

Online ISSN: 2345-511X