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)
1. MULTIPLICATION MODULES THAT ARE FINITELY GENERATED
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 1-5
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 ... Read More2. CLASSICAL 2-ABSORBING SECONDARY SUBMODULES
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 7-15
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 withidentity. We ... Read More3. ω-NARROWNESS AND RESOLVABILITY OF TOPOLOGICAL GENERALIZED GROUPS
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 17-26
Abstract
Abstract. A topological group H is called ω -narrow if for everyneighbourhood V of it’s identity element there exists a countableset 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) ∈ Gsuch that xe(x) = e(x)x ... Read More4. A NEW CHARACTERIZATION OF ABSOLUTELY PO-PURE AND ABSOLUTELY PURE S-POSETS
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 27-37
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 ... Read More5. ADMITTING CENTER MAPS ON MULTIPLICATIVE METRIC SPACE
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 39-51
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 ... Read More6. PRIMARY ZARISKI TOPOLOGY ON THE PRIMARY SPECTRUM OF A MODULE
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 53-68
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 ... Read More7. $\varphi$-CONNES MODULE AMENABILITY OF DUAL BANACH ALGEBRAS
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 69-82
Abstract
In this paper we define $\varphi$-Connes module amenability ofa dual Banach algebra $\mathcal{A}$ where $\varphi$ is a bounded $w_{k^*}$-modulehomomorphism from $\mathcal{A}$ to $\mathcal{A}$. We are mainlyconcerned with the study of $\varphi$-module normalvirtual diagonals. We show that if $S$ is a ... Read More8. THE (△,□)-EDGE GRAPH G△,□ OF A GRAPH G
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 83-93
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 ... Read More9. ANNIHILATOR OF LOCAL COHOMOLOGY MODULES UNDER THE RING EXTENSION R⊂R[X]
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 95-102
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 localcohomology 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 ... Read More10. A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 103-111
Abstract
In this paper, we prove that every finite group $ G $ with the same order and largest element order as $G_{2}(q)$, where $ q\leq 11 $ is necessarily isomorphic to the group $G_{2}(q)$. Read More11. A GENERALIZATION OF PRIME HYPERIDEALS
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 113-127
Abstract
Let $R$ be a multiplicative hyperring. In this paper, we introduce and study the concept of n-absorbing hyperideal which is a generalizationof prime hyperideal. A proper hyperideal $I$ of $R$ is called an $n$-absorbing hyperideal of $R$ ... Read More12. WOVEN FRAMES IN TENSOR PRODUCT OF HILBERT SPACES
Volume 8, Issue 1 , Summer and Autumn 2020, Pages 129-140