**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

##### ON THE COMPUTATIONAL COMPLEXITY ASPECTS OF PERFECT ROMAN DOMINATION

*Volume 10, Issue 2 , January 2023, Pages 189-202*

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**Abstract **

A perfect Roman dominating function (PRDF) on a graph $G$ is a function $ f:V(G)\to \{0,1,2\}$ satisfying the condition that every vertex $u$ with $f(u) = 0$ is adjacent to exactly one vertex $v$ for which $f(v) = 2$. The weight of a PRDF $f$ is the sum of the weights of the vertices under ...
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##### r-CLEAN RINGS RELATIVE TO RIGHT IDEALS

*Volume 10, Issue 2 , January 2023, Pages 203-224*

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**Abstract **

Abstract.An associative ring R with identity is called r¡clean ring if everyelement of R is the sum of a regular and an idempotent element. In this paper,we introduce the concept of r-clean rings relative to right ideal. We studyvarious properties of these rings. We give some relations between ...
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##### GRADED I-PRIME SUBMODULES

*Volume 10, Issue 2 , January 2023, Pages 225-243*

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**Abstract **

Let $R= \bigoplus_{g \in G} R_g$ be a $G-$graded commutative ring with identity, $I$ be a graded ideal and let $M$ a $G-$graded unitary $R$-module, where $G$ is a semigroup with identity $e$. We introduce graded $I-$prime ideals (submodules) as a generalizations of the classical notions of prime ideals ...
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##### FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS

*Volume 10, Issue 2 , January 2023, Pages 245-258*

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**Abstract **

Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local cohomology module H_φ^i (M, N) , in certain cases.
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##### ON HOMOLOGICAL CLASSIFICATION OF MONOIDS BY CONDITION (PWPsc) OF RIGHT ACTS

*Volume 10, Issue 2 , January 2023, Pages 259-283*

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**Abstract **

In this paper, we introduce Condition (PWPsc) as a generalization of Condition (PWP_E) of acts over monoids, and we observe that Condition (PWPsc) does not imply Condition (PWP_E). In general, we show that Condition (PWPsc) implies the property of being principally weakly flat, and that in left PSFmonoids, ...
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##### INTUITIONISTIC FALLING SHADOWS APPLIED TO COMMUTATIVE IDEALS IN BCK-ALGEBRAS

*Volume 10, Issue 2 , January 2023, Pages 285-297*

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**Abstract **

The notion of commutative falling intuitionistic fuzzy ideal of a BCK-algebra is introduced and related properties are investigated. We verify that every commutative intuitionistic fuzzy ideal is a commutative falling intuitionistic fuzzy ideal, and provide example to show that a commutative falling ...
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##### ON DETERMINING THE DISTANCE SPECTRUM OF A CLASS OF DISTANCE INTEGRAL GRAPHS

*Volume 10, Issue 2 , January 2023, Pages 299-308*

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**Abstract **

The distance eigenvalues of a connected graph $G$ are the eigenvalues of its distance matrix$D(G)$. A graph is called distance integral if all of itsdistance eigenvalues are integers.Let $n$ and $k$ be integers with $n>2k, k\geq1$. The bipartite ...
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##### ON THE PATH HYPEROPERATION AND ITS CONNECTIONS WITH HYPERGRAPH THEORY

*Volume 10, Issue 2 , January 2023, Pages 309-321*

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**Abstract **

In this paper, we introduce a path hyperoperation associated with a hypergraph,which is an extension of the Corsini’s hyperoperation.We investigate some related properties and study relations betweenthe path hyperoperation and hypergraph theory.
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##### A NOTE ON Cc(X) VIA A TOPOLOGICAL RING

*Volume 10, Issue 2 , January 2023, Pages 323-334*

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**Abstract **

Let $C_c(X)$ (resp., $C_c^*(X)$) denote the functionallycountable subalgebra of $C(X)$ (resp., $C^*(X)$),consisting of all functions (resp., bounded functions) with countable image.$C_c(X)$ (resp., $C_c^*(X)$) as a topological ring via $m_c$-topology (resp., $m^*_c$-topology) and $u_c$-topology (resp., ...
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##### PERFECTNESS OF THE ANNIHILATOR GRAPH OF ARTINIAN COMMUTATIVE RINGS

*Volume 10, Issue 2 , January 2023, Pages 335-343*

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**Abstract **

Let $R$ be a commutative ring and $Z(R)$ be the set of its zero-divisors.The annihilator graph of $R$, denoted by $AG(R)$ is a simple undirected graph whose vertexset is $Z(R)^*$, the set of all nonzero zero-divisors of $R$, and two distinct vertices ...
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##### A GRAPH ASSOCIATED TO FILTERS OF A LATTICE

*Volume 10, Issue 2 , January 2023, Pages 345-359*

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**Abstract **

Let $L$ be a lattice with the least element $0$ and the greatest element $1$. In this paper, we associate a graph to filters of $L$, in which the vertex set is being the set of all non-trivial filters of $L$, and two distinct vertices $F$ and $E$ are adjacent if and only if $F \cap E \neq \{1\}$. We ...
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##### WEAKLY BAER RINGS

*Volume 10, Issue 2 , January 2023, Pages 361-374*