##### Volume 1 (2013-2014)
 Facts & Figures Number of Volumes 9 Number of Issues 18 Number of Articles 154 Number of Contributors 242 Article View 133,776 PDF Download 112,454 View Per Article 868.68 PDF Download Per Article 730.22 Number of Submissions 569 Rejected Submissions 333 Reject Rate 59 Accepted Submissions 166 Acceptance Rate 29 Number of Indexing Databases 12 Number of Reviewers 1144 Accept Date (Days) 265

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. ZERO-DIVISOR GRAPH OF THE RINGS OF REAL MEASURABLE FUNCTIONS WITH THE MEASURES

H. Hejazipour; A. R. Naghipour

Volume 9, Issue 2 , Winter and Spring 2022, Pages 175-192
##### Abstract
Let $M(X, \mathcal{A}, \mu)$ be the ring of real-valued measurable functionson a measurable space $(X, \mathcal{A})$ with measure $\mu$.In this paper, we study the zero-divisor graph of $M(X, \mathcal{A}, \mu)$,denoted by $\Gamma(M(X, \mathcal{A}, \mu))$.We give the relationships among graph properties ...  Read More

##### 2. DISTANCE LAPLACIAN SPECTRUM OF THE COMMUTING GRAPH OF FINITE CA-GROUPS

M. Torktaz; A. R. Ashrafi

Volume 9, Issue 2 , Winter and Spring 2022, Pages 193-201
##### Abstract
The commuting graph of a finite group $G$, $\mathcal{C}(G)$, is a simple graph with vertex set $G$ in which two vertices $x$ and $y$ are adjacent if and only if $xy = yx$. The aim of this paper is to compute the distance Laplacian spectrum and the distance Laplacian energy of the commuting graph of $CA$-groups.  Read More

##### 3. ANNIHILATING-IDEAL GRAPH OF C(X)

M. Badie

Volume 9, Issue 2 , Winter and Spring 2022, Pages 203-217
##### Abstract
In this article the annihilating-ideal graph of the ring C(X) is studied. We have tried to associate the graph properties of AG(X), the ring properties of C(X) and the topological properties of X. It is shown that X has an isolated point if and only if R is a direct summand of C(X) and this happens if ...  Read More

##### 4. TOPICS ON CONTINUOUS INVERSE ALGEBRAS

A. Naziri-Kordkandi

Volume 9, Issue 2 , Winter and Spring 2022, Pages 219-227
##### Abstract
In this paper, we first provide some counterexamples and derive some new results concerning the usual and singular spec- trum of an element in continuous inverse algebras. Then we continue our investigation about the characterizations of multiplicative linear maps and their related results in these algebras.  Read More

##### 5. (7,K) GIRTH-8 QC-LDPC CODES WITH AN EXPLICIT CONSTRUCTION

M. Majdzadeh; M. Gholami; Gh. Raeisi

Volume 9, Issue 2 , Winter and Spring 2022, Pages 229-239
##### Abstract
Recently, for each row weight $K$ and column-weight $J$, $3\le J< K$, several classes of $(J,K)$ quasi-cyclic (QC) low-density parity-check (LDPC) codes with girth 8 have been constructed explicitly such that their corresponding lower-bounds on the size of circulant permutation matrices (CPMs) have ...  Read More

##### 6. Geometric Hypergroups

M. Al Tahan; B. Davvaz

Volume 9, Issue 2 , Winter and Spring 2022, Pages 241-257
##### Abstract
The aim of this paper is to extend the notion of geometric groups to geometric hypergroups and to investigate the interaction between algebraic and geometric properties of hypergroups. In this regard, we first define a metric structure on hypergroups via word metric and present some examples on it by ...  Read More

##### 7. SOME INEQUALITIES FOR POLYNILPOTENT MULTIPLIER OF POWERFULL p-GROUPS

M. Alizadeh Sanati

Volume 9, Issue 2 , Winter and Spring 2022, Pages 259-265
##### Abstract
In this paper we present some inequalities for the order, the exponent, and the number of generators of the polynilpotent multiplier, the Baer invariant with respect to the variety of polynilpotent groups of class row (c_1; · · · ; c_t) of a powerful p-group.Our results extend some ...  Read More

##### 8. ON SOME TOTAL GRAPHS ON FINITE RINGS

M. Taghidoust Laskukalayeh; M. Gholamnia Taleshani; A. Abbasi

Volume 9, Issue 2 , Winter and Spring 2022, Pages 267-280
##### Abstract
We give a decomposition of total graphs on some finite commutative rings R = Zm, where the set of zero-divisors of R is not an ideal. In particular, we study the total graph T(􀀀(Z2npm))where p is a prime and m and n are positive integers and investigate some graph theoretical properties with some ...  Read More

##### 9. A METRIC-LIKE TOPOLOGY ON BL-ALGEBRAS

Seyed M. A. Khatami

Volume 9, Issue 2 , Winter and Spring 2022, Pages 281-298

##### 11. FINITENESS PROPERTIES OF FORMAL LOCAL COHOMOLOGY MODULES

Sh. Rezaei; A. Riahini Komachali

Volume 9, Issue 2 , Winter and Spring 2022, Pages 323-333
##### Abstract
In this paper, we investigate some properties of top formal localcohomology FdimM=aMa (M). Among other things, we determine AttR(FdimM=aMa (M)),in the case that FdimM=aMa (M) is an artinian module. Also we show that FdimM=aMa (M)is artinian if and only if it is minimax..  Read More

##### 12. ON THE m_c-TOPOLOGY ON THE FUNCTIONALLY COUNTABLE SUBALGEBRA OF C(X)

A. Veisi

Volume 9, Issue 2 , Winter and Spring 2022, Pages 335-345
##### Abstract
In this paper, we consider the $m_c$-topology on $C_c(X)$, the functionally countable subalgebra of $C(X)$. We show that a Tychonoff space $X$ is countably pseudocompact if and only if the $m_c$-topology and the $u_c$-topology on $C_c(X)$ coincide. It is shown that whenever $X$ is a zero-dimensional ...  Read More

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

M. Nasernejad

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

Mohammad Arashi

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