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
STRUCTURE OF ZERO-DIVISOR GRAPHS ASSOCIATED TO RING OF INTEGER MODULO n
Volume 11, Issue 1 , September 2023, Pages 1-14
Abstract
For a commutative ring $R$ with identity $1\neq 0$, let $Z^{*}(R)=Z(R)\setminus \lbrace 0\rbrace$ be the set of non-zero zero-divisors of $R$, where $Z(R)$ is the set of all zero-divisors of $R$. The zero-divisor graph of $R$, denoted by $\Gamma(R)$, is a simple graph whose vertex set is $Z^{*}(R)=Z(R)\setminus ... Read MoreTHE STRUCTURE OF MODULE LIE DERIVATIONS ON TRIANGULAR BANACH ALGEBRAS
Volume 11, Issue 1 , September 2023, Pages 15-26
Abstract
In this paper, we introduce the concept of module Lie derivations on Banach algebras and study module Lie derivations on unital triangular Banach algebras $ \mathcal{T}=\begin{bmatrix}A & M\\ &B\end{bmatrix}$ to its dual. Indeed, we prove that every module (linear) Lie ... Read MoreTWO PROPERTIES OF COUSIN FUNCTORS
Volume 11, Issue 1 , September 2023, Pages 27-36
Abstract
Let $R$ be a commutative Noetherian ring with non-zero identity and $\mathcal{F}$ a filtration of $\operatorname{Spec}(R)$. We show that the Cousin functor with respect to $\mathcal{F}$, $C_R(\mathcal{F},-):\mathcal{C}_{\mathcal{F}}(R)\longrightarrow\operatorname{Comp}(R)$, ... Read MoreACENTRALIZERS OF GROUPS OF ORDER p3
Volume 11, Issue 1 , September 2023, Pages 37-43
Abstract
Suppose that $G$ is a finite group. The acentralizer $C_G(\alpha)$ of an automorphism $\alpha$ of $G$,is defined as the subgroup of fixed points of $\alpha$, that is $C_G(\alpha)= \{g \in G \mid \alpha(g)=g\}$.In this paper we determine the acentralizers of groups ... Read MoreINTRINSIC IDEALS OF DISTRIBUTIVE LATTICES
Volume 11, Issue 1 , September 2023, Pages 45-64
Abstract
The concepts of intrinsic ideals and inlets are introduced in a distributive lattice. Intrinsic ideals are also characterized with the help of inlets. Certain equivalent conditions are given for an ideal of a distributive lattice to become intrinsic. Some equivalent conditions are derived for the quotient ... Read MoreON THE STRONG DOMINATING SETS OF GRAPHS
Volume 11, Issue 1 , September 2023, Pages 65-76
Abstract
Let $G=(V(G),E(G))$ be a simple graph. A set $D\subseteq V(G)$ is a strong dominating set of $G$, if for every vertex $x\in V(G)\setminus D$ there is a vertex $y\in D$ with $xy\in E(G)$ and $deg(x)\leq deg(y)$. The strong domination number $\gamma_{st}(G)$ is defined as the minimum cardinality of a strong ... Read MoreCHARACTERIZATION OF JORDAN $\{g, h\}$-DERIVATIONS OVER MATRIX ALGEBRAS
Volume 11, Issue 1 , September 2023, Pages 77-95
Abstract
In this article, we characterize $\{g, h\}$-derivation on the upper triangular matrix algebra $\mathcal{T}_n(C)$ and prove that every Jordan $\{g, h\}$-derivation over $\mathcal{T}_n(C)$ is a $\{g, h\}$-derivation under a certain condition, where $C$ is a $2$-torsion free commutative ring with unity ... Read MoreSOME RESULTS ON THE ARTINIAN COFINITE MODULES
Volume 11, Issue 1 , September 2023, Pages 97-103
Abstract
Let $I$ be an ideal of a commutative Noetherian ring $R$ and $M$ be a non-zero Artinian $R$-module with support contained in $V(I)$. In this paper it is shown that $M$ is $I$-cofinite if and only if $Rad(I\widehat{R}^J+Ann_{\widehat{R}^J}M)=J\widehat{R}^J$, where $J:=\cap_{m\in Supp M}m$ and $\widehat{R}^J$ ... Read More(ANTI) FUZZY IDEALS OF SHEFFER STROKE BCK-ALGEBRAS
Volume 11, Issue 1 , September 2023, Pages 105-135
Abstract
The aim of this study is to introduce (anti) fuzzy ideals of a Sheffer stroke BCK-algebra. After describing an anti fuzzy subalgebra and an anti fuzzy (sub-implicative) ideal of a Sheffer stroke BCK-algebra, the relationships of these structures are demonstrated. Also, a t-level cut and a complement ... Read MoreLOCATION OF SOLID BURST WITHIN TWO ADJACENT SUB-BLOCKS
Volume 11, Issue 1 , September 2023, Pages 137-147
Abstract
The paper studies the existence of linear codes that locate solid burst errors, which may be confined to one sub-block or spread over two adjacent sub-blocks. An example of such a code is also given. Comparisons on the number of parity check digits required for such linear codes with solid burst detecting ... Read MoreVarieties Of Permutative Semigroups Closed Under Dominions
Volume 11, Issue 1 , September 2023, Pages 149-172
Abstract
In this paper, we partially generalize a result of Isbell from the class of commu- tative semigroups to some generalized class of commutative semigroups by showing that dominion of such semigroups belongs to the same class by using Isbell’s zigzag theorem. we found some permutative semigroups for ... Read MoreON THE FINITENESS OF FORMAL LOCAL COHOMOLOGY MODULES
Volume 11, Issue 1 , September 2023, Pages 173-187