Volume 1 (2013-2014)
 Facts & Figures Number of Volumes 10 Number of Issues 19 Number of Articles 166 Number of Contributors 265 Article View 142,089 PDF Download 117,591 View Per Article 855.96 PDF Download Per Article 708.38 Number of Submissions 600 Rejected Submissions 347 Reject Rate 58 Accepted Submissions 180 Acceptance Rate 30 Number of Indexing Databases 12 Number of Reviewers 1188 Accept Date (Days) 262

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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The journal is accepted for inclusion by SCOPUS

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. A SURVEY ON THE FUSIBLE PROPERTY OF SKEW PBW EXTENSIONS

S. Higuera; A. Reyes

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 1-29
Abstract
We present several results that establish the fusible and the regular left fusible properties of the family of noncommutative rings known as skew Poincar'e-Birkhoff-Witt extensions. Our treatment is based on the recent works of Ghashghaei and McGovern [13], and Kosan and Matczuk [31] concerning the left ...  Read More

2. VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS

A. Borumand Saeid; A. Rezaei; R. Bandaru; Y. B. Jun

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 31-47
Abstract
Further properties on (belligerent) GE-filters are discussed, and the quotient GEalgebra via a GE-filter is established. Conditions for the set →c to be a belligerent GE-filterare provided. The extension property of belligerent GE-filter is composed. The notions of abalanced element, a balanced ...  Read More

3. VALUED-POTENT (GENERAL) MULTIRINGS

M. Hamidi; A. A. Tavakoli; R. Ameri

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 49-68
Abstract
Abstract. This paper extends multirings to a novel concept as general multirings, investigates their properties and presents a special general multirings as notation of (m; n)-potent general multirings. This study analyzes the di fferences between class of multirings, general multirings and general hyperrings ...  Read More

4. A NOTE ON RELATIVE GENERALIZED COHEN-MACAULAY MODULES

A. Ghanbari Doust

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 69-78
Abstract
Let a be a proper ideal of a ring R. A finitely generated R-module M is said to be a-relative generalized Cohen-Macaulay if f_a (M)=cd(a ,M). In this note, we introduce a suitable notion of length of a module to characterize the above mentioned modules. Also certain syzygy modules over a relative Cohen-Macaulay ...  Read More

5. H-SETS AND APPLICATIONS ON Hv-GROUPS

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 79-93
Abstract
In this paper, the notion of H-sets on Hv-groups is introduced and some related properties are investigated and some examples are given. In this regards, the concept of regular, strongly regular relations and homomorphism of H-sets are adopted. Also, the classical isomorphism theorems of groups are generalized ...  Read More

P. Ghiasvand; F. Farzalipour

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 95-110
Abstract
Let $G$ be a group with identity $e$, $R$ be an associative graded ring and $M$ be a $G$-graded $R$-module. In this article, we intruduce the concept of graded semiprimesubmodules over non-commutative graded rings. First, we study graded prime $R$-modulesover non-commutative graded rings and we get some ...  Read More

7. DIVISOR TOPOLOGIES AND THEIR ENUMERATION

F. Esmaeeli; K. Mirzavaziri; M. Mirzavaziri

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 111-119
Abstract
‎For a positive integer $m$‎, ‎a subset of divisors of $m$ is called a \textit{divisor topology on $m$} if it contains $1$ and $m$ and it is closed under taking $\gcd$ and $\rm lcm$‎. ‎If $m=p_1\dots p_n$ is a square free positive integer‎, ‎then a divisor topology $m$ corresponds ...  Read More

8. NORMAL INJECTIVE RESOLUTION OF GENERAL KRASNER HYPERMODULES

M. Hamidi; F. Faraji; R. Ameri; Kh. Ahmadi-amoli

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 121-145
Abstract
In this paper, we construct the concept of general  Krasner  hyperring based on the  ring  structures and the left general Krasner hypermodule based on the  module structures.  This study introduces  the  trivial left general Krasner hypermodules and  proves ...  Read More

9. SUMS OF UNITS IN SOME CLASSES OF NEAT RINGS

N. Pouyan

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 147-153
Abstract
A ring R is said to be clean if every element of R is a sumof an idempotent and a unit. A ring R is a neat ring if every nontrivialhomomorphic image is clean. In this paper, first, it is proved that everyelement of some classes of neat rings is n-tuplet-good if no factor ringof such rings isomorphic ...  Read More

10. THE IDENTIFYING CODE NUMBER AND FUNCTIGRAPHS

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 155-166
Abstract
Let G = (V (G); E(G)) be a simple graph. A set D of vertices G is an identifying code of G; if for every two vertices x and y the sets N_G[x] \ D and N_G[y] \ D are non- empty and different. The minimum cardinality of an identifying code in graph G is the identifying code number of G and it is denoted ...  Read More

11. JORDAN HIGHER DERIVATIONS, A NEW APPROACH

Sayed. Kh. Ekrami

Volume 10, Issue 1 , Summer and Autumn 2022, Pages 167-177

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