**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: 7

##### BAER AND QUASI-BAER PROPERTIES OF SKEW PBW EXTENSIONS

*Volume 7, Issue 1 , September 2019, Pages 1-24*

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**Abstract **

A ring $R$ with an automorphism $\sigma$ and a $\sigma$-derivation $\delta$ is called $\delta$-quasi-Baer (resp., $\sigma$-invariant quasi-Baer) if the right annihilator of every $\delta$-ideal (resp., $\sigma$-invariant ideal) of $R$ is generated by an idempotent, as a right ideal. In this paper, we ...
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##### COTORSION DIMENSIONS OVER GROUP RINGS

*Volume 7, Issue 1 , September 2019, Pages 25-32*

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**Abstract **

Let $\Gamma$ be a group, $\Gamma'$ a subgroup of $\Gamma$ with finite index and $M$ be a $\Gamma$-module. We show that $M$ is cotorsion if and only if it is cotorsion as a $\Gamma'$-module. Using this result, we prove that the global cotorsion dimensions of rings $Z\Gamma$ and $Z\Gamma'$ are equal.
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##### HYPERIDEALS IN M-POLYSYMMETRICAL HYPERRINGS

*Volume 7, Issue 1 , September 2019, Pages 33-50*

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**Abstract **

An M-polysymmetrical hyperring $(R,+,\cdot )$ is an algebraic system, where $(R,+)$ is an M-polysymmetrical hypergroup, $(R,\cdot )$ is a semigroup and $\cdot$ is bilaterally distributive over $+$. In this paper, we introduce the concept of hyperideals of an M-polysymmetrical hyperring and by using this ...
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##### ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS

*Volume 7, Issue 1 , September 2019, Pages 51-68*

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**Abstract **

Let $R$ be a ring (not necessarily commutative) with nonzero identity. We define $\Gamma(R)$ to be the graph with vertex set $R$ in which two distinct vertices $x$ and $y$ are adjacent if and only if there exist unit elements $u,v$ of $R$ such that $x+uyv$ is a unit of $R$. In this paper, basic properties ...
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##### GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS

*Volume 7, Issue 1 , September 2019, Pages 69-82*

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**Abstract **

For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and in intra-regular ordered semigroups ...
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##### NEW METHODS FOR CONSTRUCTING GENERALIZED GROUPS, TOPOLOGICAL GENERALIZED GROUPS, AND TOP SPACES

*Volume 7, Issue 1 , September 2019, Pages 83-94*

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**Abstract **

The purpose of this paper is to introduce new methods for constructing generalized groups, generalized topological groups and top spaces. We study some properties of these structures and present some relative concrete examples. Moreover, we obtain generalized groups by using of Hilbert spaces ...
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##### ON THE NORMALITY OF t-CAYLEY HYPERGRAPHS OF ABELIAN GROUPS

*Volume 7, Issue 1 , September 2019, Pages 95-103*