**Volume 11 (2023-2024)**

**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

##### NEW MAJORIZATION FOR BOUNDED LINEAR OPERATORS IN HILBERT SPACES

*Volume 11, Issue 2 , January 2024, Pages 1-12*

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**Abstract **

This work aims to introduce and investigate a preordering in $B(\mathcal{H}),$ the Banach space of all bounded linear operators defined on a complex Hilbert space $\mathcal{H}.$ It is called strong majorization and denoted by $S\prec_{s}T,$ for $S,T\in B(\mathcal{H}).$ ...
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##### ISOTONIC CLOSURE FUNCTIONS ON A LOCALE

*Volume 11, Issue 2 , January 2024, Pages 13-32*

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**Abstract **

In this paper, we introduce and study isotonic closure functions on a locale. These are pairs of the form $(L, \underline{{\mathrm{cl}}}_L)$, where$L$ is a locale and $\underline{{\mathrm{cl}}}_L\colon \mathcal{S}\!\ell(L) \rightarrow \mathcal{S}\!\ell(L)$is an isotonic closure function on the sublocales ...
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##### ABSORBING PRIME MULTIPLICATION MODULES OVER A PULLBACK RING

*Volume 11, Issue 2 , January 2024, Pages 33-51*

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**Abstract **

The main purpose of this article is to present a new approach to the classification of all indecomposable absorbing prime multiplication modules with finite-dimensional top over pullback rings of two Dedekind domains. First, ...
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##### A KIND OF GRAPH STRUCTURE ASSOCIATED WITH ZERO-DIVISORS OF MONOID RINGS

*Volume 11, Issue 2 , January 2024, Pages 53-63*

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**Abstract **

Let $R$ be an associative ring and $M$ be a monoid. In this paper, we introduce new kind of graph structure asociated with zero-divisors of monoid ring $R[M]$, calling it the $M$-Armendariz graph of a ring $R$ and denoted by $A(R,M)$. It is an undirected graph ...
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##### QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS

*Volume 11, Issue 2 , January 2024, Pages 65-82*

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**Abstract **

The notion of fuzzy ideal in bounded equality algebras is defined, and several properties are studied. Fuzzy ideal generated by a fuzzy set is established, and a fuzzy ideal is made by using the collection of ideals. Characterizations of fuzzy ideal are discussed. Conditions for a fuzzy ideal to attains ...
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##### A CLASSIFICATION OF EXTENSIONS GENERATED BY A ROOT OF AN EISENSTEIN-DUMAS POLYNOMIAL

*Volume 11, Issue 2 , January 2024, Pages 83-91*

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**Abstract **

It is known that for a discrete valuation v of a field K with value group Z, an valued extension field (K′, v′) of (K, v) is generated by a root of an Eisenstein polynomial with respect to v having coefficients in K if and only if the extension (K′, v′)/(K, v) is totally ramified. ...
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##### SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH

*Volume 11, Issue 2 , January 2024, Pages 93-112*

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**Abstract **

Let R be a commutative ring with identity 1≠0. The comaximal ideal graph of R is the simple, undirected graph whose vertex set is the set of all proper ideals of the ring R not contained in Jacobson radical of R and two vertices I and J are adjacent in this graph if and only if I+J=R. In this article, ...
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##### EXTENSION AND TORSION FUNCTORS WITH RESPECT TO SERRE CLASSES

*Volume 11, Issue 2 , January 2024, Pages 113-123*

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**Abstract **

In this paper we generalize the Rigidity Theorem and Zero Divisor Conjecture for an arbitrary Serre subcategory of modules. For this purpose, for any regularM-sequence x1; :::; xn with respect to S we prove that if TorR 2 ((x1;:::;x R n); M) 2 S, thenTorR i ((x1;:::;x R n); M) 2 S, for all i ≥ 1. ...
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##### UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS

*Volume 11, Issue 2 , January 2024, Pages 125-136*

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**Abstract **

In this paper, we introduce the concept of uniformly $n$-ideal ofcommutative rings which is a special type of $n$-ideal. We call aproper ideal $I$ of $R$ a uniformly $n$-ideal if there exists apositive integer $k$ for $a,b\in R$ whenever $ab\in I$ and$a\notin I$ implies that $b^{k}=0.$ The basic properties ...
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##### ON THE MINIMAXNESS AND ARTINIANNESS DIMENSIONS

*Volume 11, Issue 2 , January 2024, Pages 137-145*

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**Abstract **

Let R be a commutative Noetherian ring, I, J be ideals of R such thatJ ⊆ I, and M be a finitely generated R-module. In this paper, we prove that theinvariants AJI(M) := inf{i ∈ N0 | JtHiI (M) is not Artinian for all t ∈ N0} and inf{i ∈N0 | JtHiI (M) is not minimax for all t ∈ ...
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##### POLYMATROIDAL IDEALS AND LINEAR RESOLUTION

*Volume 11, Issue 2 , January 2024, Pages 147-153*

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**Abstract **

Let $S=K[x_1,\ldots,x_n]$ be a polynomial ring over a field $K$ and$I\subset S$ be a monomial ideal with a linearresolution. Let$\frak{m}=(x_1,\ldots,x_n)$ be the unique homogeneous maximal ideal and $I\frak{m}$ be apolymatroidal ideal. We prove that if either $I\frak{m}$ is polymatroidal with strongexchange ...
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##### ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT

*Volume 11, Issue 2 , January 2024, Pages 155-177*