**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)**

##### 1. MULTIPLICATION MODULES THAT ARE FINITELY GENERATED

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 1-5*

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**Abstract **

Let $R$ be a commutative ring with identity and $M$ be a unitary $R$-module. An $R$-module $M$ is called a multiplication module if for every submodule $N$ of $M$ there exists an ideal $I$ of $R$ such that $N = IM$. It is shown that over a Noetherian domain $R$ with dim$(R)\leq 1$, multiplication modules ...
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##### 2. CLASSICAL 2-ABSORBING SECONDARY SUBMODULES

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 7-15*

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**Abstract **

In this work, we introduce the concept of classical 2-absorbing secondary modules over a commutative ring as a generalization of secondary modules and investigate some basic properties of this class of modules. Let $R$ be a commutative ring with identity. We ...
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##### 3. ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 17-26*

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**Abstract **

Abstract. A topological group H is called ω -narrow if for every neighbourhood V of it’s identity element there exists a countable set A such that V A = H = AV. A semigroup G is called a generalized group if for any x ∈ G there exists a unique element e(x) ∈ G such that xe(x) = ...
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##### 4. A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 27-37*

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**Abstract **

In this paper, we investigate po-purity using ﬁnitely presented S-posets, and give some equivalent conditions under which an S-poset is absolutely po-pure. We also introduce strongly ﬁnitely presented S-posets to characterize absolutely pure S-posets. Similar to the acts, every finitely presented ...
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##### 5. ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 39-51*

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**Abstract **

In this work, we investigate admitting center map on multiplicative metric space and establish some fixed point theorems for such maps. We modify the Banach contraction principle and the Caristi's fixed point theorem for M-contraction admitting center maps ...
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##### 6. PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 53-68*

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**Abstract **

Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. We define the primary spectrum of $M$, denoted by $\mathcal{PS}(M)$, to be the set of all primary submodules $Q$ of $M$ such that $(\operatorname{rad}Q:M)=\sqrt{(Q:M)}$. In this ...
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##### 7. $\varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 69-82*

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**Abstract **

In this paper we define $\varphi$-Connes module amenability of a dual Banach algebra $\mathcal{A}$ where $\varphi$ is a bounded $w_{k^*}$-module homomorphism from $\mathcal{A}$ to $\mathcal{A}$. We are mainly concerned with the study of $\varphi$-module normal virtual diagonals. We show that if $S$ is ...
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##### 8. THE (△,□)-EDGE GRAPH G△,□ OF A GRAPH G

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 83-93*

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**Abstract **

To a simple graph $G=(V,E)$, we correspond a simple graph $G_{\triangle,\square}$ whose vertex set is $\{\{x,y\}: x,y\in V\}$ and two vertices $\{x,y\},\{z,w\}\in G_{\triangle,\square}$ are adjacent if and only if $\{x,z\},\{x,w\},\{y,z\},\{y,w\}\in V\cup E$. The graph $G_{\triangle,\square}$ is called ...
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##### 9. ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 95-102*

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**Abstract **

Let R be a commutative Noetherian ring, I an ideal of R and M a non-zero R-module. In this paper we calculate the extension of annihilator of local cohomology modules H^t_I(M), t≥0, under the ring extension R⊂R[X] (resp. R⊂R[[X]]). By using this extension we will present some of the faithfulness ...
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##### 10. A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 103-111*

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**Abstract **

Let G be a finite group , in this paper using the order and largest element order of G we show that every ﬁnite group with the same order and largest element order as G 2 (q), where q 11 is necessarily isomorphic to the group G 2 (q)
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##### 11. A GENERALIZATION OF PRIME HYPERIDEALS

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 113-127*

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**Abstract **

Let $R$ be a multiplicative hyperring. In this paper, we introduce and study the concept of n-absorbing hyperideal which is a generalization of prime hyperideal. A proper hyperideal $I$ of $R$ is called an $n$-absorbing hyperideal of $R$ ...
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##### 12. WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES

*Volume 8, Issue 1 , Summer and Autumn 2020, Pages 129-140*