##### Volume 1 (2013-2014)
 Facts & Figures Number of Volumes 9 Number of Issues 17 Number of Articles 142 Number of Contributors 226 Article View 126,034 PDF Download 106,279 View Per Article 887.56 PDF Download Per Article 748.44 Number of Submissions 528 Rejected Submissions 316 Reject Rate 60 Accepted Submissions 155 Acceptance Rate 29 Number of Indexing Databases 11 Number of Reviewers 1094 Accept Date (Days) 264

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.

High visibility for maximum global exposure with open access publishing model rigorous peer review (blind peer-review) of research papers prompt faster publication.

JAS has no publication charges and no submission fees.

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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. THE ANNIHILATOR GRAPH FOR MODULED OVER COMMUTATIVE RINGS

Katayoun Nozari; Sh. Payrovi

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 1-12

##### Abstract
‎Let $R$ be a commutative ring and $M$ be an $R$-module‎. ‎The‎ ‎annihilator graph of $M$‎, ‎denoted by $AG(M)$ is a simple undirected‎ ‎graph associated to $M$ whose the set of vertices is‎ ‎$Z_R(M) \setminus {\rm Ann}_R(M)$ and two distinct vertices $x$ and‎ ...  Read More

##### 2. ON THE PROJECTIVE DIMENSION OF ARTINIAN MODULES

Y. Irani; K. Bahmanpour; Gh. Ghasemi

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 13-20

##### Abstract
Let $(R, \mathfrak{m})$ be a Noetherian local ring and $M$, $N$ be two finitely generated $R$-modules. In this paper it is shown that $R$ is a Cohen-Macaulay ring if and only if $R$ admits a non-zero Artinian $R$-module $A$ of finite projective dimension; in addition, for all such Artinian $R$-modules ...  Read More

##### 3. SOME PROPERTIES ON DERIVATIONS OF LATTICES

Mayuka F Kawaguchi; Michiro KONDO

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 21-33

##### Abstract
In this paper we consider some properties of derivations of lattices and show that (i) for a derivation $d$ of a lattice $L$ with the maximum element $1$, it is monotone if and only if $d(x) \le d(1)$ for all $x\in L$ (ii) a monotone derivation $d$ is characterized by $d(x) = x\wedge d(1)$ and (iii) ...  Read More

##### 4. DEFICIENCY ZERO GROUPS IN WHICH PRIME POWER OF GENERATORS ARE CENTRAL

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 35-43

##### Abstract
The infinite family of groups defined by the presentation $G_p=\langle x, y|x^p=y^p,\; xyx^my^n=1\rangle$, in which $p$ is a prime in $\{2,3,5\}$ and $m,n\in\mathbb{N}_0$, will be considered and finite and infinite groups in the family will be determined. For the primes $p=2,3$ the group $G_p$ is finite ...  Read More

##### 5. C#-IDEALS OF LIE ALGEBRAS

L. Goudarzi

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 45-51

##### Abstract
Let $L$ be a finite dimensional Lie algebra. A subalgebra $H$ of $L$ is called a $c^{\#}$-ideal of $L$, if there is an ideal $K$ of $L$ with $L=H+K$ and $H\cap K$ is a $CAP$-subalgebra of $L$. This is analogous to the concept of a $c^{\#}$-normal subgroup of a finite group. Now, we consider the influence ...  Read More

##### 6. GRAPHS WITH TOTAL FORCING NUMBER TWO, REVISITED

M. Alishahi; E. Rezaei-Sani

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 53-60

##### Abstract
A subset of the vertex set of a graph $G$ is called a zero forcing set if by considering them colored and, as far as possible, a colored vertex with exactly one non-colored neighbor forces its non-colored neighbor to get colored, then the whole vertices of $G$ become colored. The total forcing number ...  Read More

##### 7. FUZZY MEDIAL FILTERS OF PSEUDO BE-ALGEBRAS

A. Rezaei

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 61-82

##### Abstract
In this paper, the notion of fuzzy medial filters of a pseudo BE-algebra is defined, and some of the properties are investigated. We show that the set of all fuzzy medial filters of a pseudo BE-algebra is a complete lattice. Moreover, we state that in commutative pseudo BE-algebras fuzzy filters and ...  Read More

##### 8. m-TOPOLOGY ON THE RING OF REAL-MEASURABLE FUNCTIONS

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 83-106

##### Abstract
In this article we consider the $m$-topology on \linebreak $M(X,\mathscr{A})$, the ring of all real measurable functions on a measurable space $(X, \mathscr{A})$, and we denote it by $M_m(X,\mathscr{A})$. We show that $M_m(X,\mathscr{A})$ is a Hausdorff regular topological ring, moreover we prove that ...  Read More

##### 9. SOME RESULTS ON ϕ -(k,n)-CLOSED SUBMODULES

M. H. Moslemi Koupaei

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 107-118

##### Abstract
Let $R$ be a commutative ring with identity and $M$ be a unitary $R$ -module. Let $S(M)$ be the set of all submodules of $M$ and $\phi :S(M)\rightarrow S(M)\cup \lbrace\emptyset\rbrace$ be a function. A proper submodule $N$ of $M$ is called $\phi$ -semi-$n$-absorbing if $r^{n} m\in N\setminus \phi(N)$ ...  Read More

##### 10. ALGORITHMIC ASPECTS OF ROMAN GRAPHS

A. Poureidi

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 119-135

##### Abstract
Let $G=(V, E)$ be a graph. A set $S \subseteq V$ is called a dominating set of $G$ if for every $v\in V-S$ there is at least one vertex $u \in N(v)$ such that $u\in S$. The domination number of $G$, denoted by $\gamma(G)$, is equal to the minimum cardinality of a dominating set in $G$. A Roman dominating ...  Read More

##### 11. LEFT ABSORBING HYPER K-ALGEBRAS

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 137-149

##### Abstract
In the present manuscript, we introduce a type of hyper K-algebra which is called left absorbing hyper K-algebra and investigate some of the related properties. We also show that set of all types of positive implicative and commutative hyper K-ideal form a distributive latttice and study their diagrams ...  Read More

##### 12. ON GP-FLATNESS PROPERTY

Volume 9, Issue 1 , Summer and Autumn 2021, Pages 151-174

##### Abstract
It is well-known that, using principal weak flatness property, some important monoids are characterized, such as regular monoids, left almost regular monoids, and so on. In this article, we recall a generalization of principal weak flatness called GP-flatness, and characterize monoids by this property ...  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