**Volume 10 (2022-2023)**

**Volume 9 (2021-2022)**

**Volume 8 (2020-2021)**

**Volume 7 (2019-2020)**

**Volume 6 (2018-2019)**

**Volume 5 (2017-2018)**

**Volume 4 (2016-2017)**

**Volume 3 (2015-2016)**

**Volume 2 (2014-2015)**

**Volume 1 (2013-2014)**

Number of Articles: 12

##### A SURVEY ON THE FUSIBLE PROPERTY OF SKEW PBW EXTENSIONS

*Volume 10, Issue 1 , September 2022, Pages 1-29*

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**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 ...
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##### VOLUNTARY GE-FILTERS AND FURTHER RESULTS OF GE-FILTERS IN GE-ALGEBRAS

*Volume 10, Issue 1 , September 2022, Pages 31-47*

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**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 ...
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##### VALUED-POTENT (GENERAL) MULTIRINGS

*Volume 10, Issue 1 , September 2022, Pages 49-68*

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**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 differences between class of multirings, general multirings and general hyperrings ...
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##### A NOTE ON RELATIVE GENERALIZED COHEN-MACAULAY MODULES

*Volume 10, Issue 1 , September 2022, Pages 69-78*

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**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 ...
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##### H-SETS AND APPLICATIONS ON Hv-GROUPS

*Volume 10, Issue 1 , September 2022, Pages 79-93*

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**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 ...
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##### GRADED SEMIPRIME SUBMODULES OVER NON-COMMUTATIVE GRADED RINGS

*Volume 10, Issue 1 , September 2022, Pages 95-110*

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**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 ...
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##### DIVISOR TOPOLOGIES AND THEIR ENUMERATION

*Volume 10, Issue 1 , September 2022, Pages 111-119*

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**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 ...
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##### NORMAL INJECTIVE RESOLUTION OF GENERAL KRASNER HYPERMODULES

*Volume 10, Issue 1 , September 2022, Pages 121-145*

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**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 ...
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##### SUMS OF UNITS IN SOME CLASSES OF NEAT RINGS

*Volume 10, Issue 1 , September 2022, Pages 147-153*

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**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 ...
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##### THE IDENTIFYING CODE NUMBER AND FUNCTIGRAPHS

*Volume 10, Issue 1 , September 2022, Pages 155-166*

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**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 ...
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##### JORDAN HIGHER DERIVATIONS, A NEW APPROACH

*Volume 10, Issue 1 , September 2022, Pages 167-177*

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**Abstract **

Let $ \mathcal{A} $ be a unital algebra over a 2-torsion free commutative ring $ \mathcal{R} $ and $ \mathcal{M} $ be a unital $ \mathcal{A} $-bimodule. We show taht every Jordan higher derivation $ D=\{D_n\}_{n\in \mathbb{N}_0} $ from the trivial extension $ \mathcal{A} \ltimes \mathcal{M} ...
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##### ON THE S_{\lambda}(X) AND {\lambda}-ZERO DIMENSIONAL SPACES

*Volume 10, Issue 1 , September 2022, Pages 179-188*