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)
STRUCTURE OF ZERO-DIVISOR GRAPHS ASSOCIATED TO RING OF INTEGER MODULO n

Shariefuddin Pirzada; Aaqib Altaf; Saleem Khan

Volume 11, Issue 1 , September 2023, Pages 1-14

https://doi.org/10.22044/jas.2022.11719.1599

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 More

THE STRUCTURE OF MODULE LIE DERIVATIONS ON TRIANGULAR BANACH ALGEBRAS

Mohammad Reza Miri; Ebrahim Nasrabadi; Ali Reza Ghorchizadeh

Volume 11, Issue 1 , September 2023, Pages 15-26

https://doi.org/10.22044/jas.2022.10734.1530

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 More

TWO PROPERTIES OF COUSIN FUNCTORS

Alireza Vahidi; Faisal Hassani; Maryam Senshenas

Volume 11, Issue 1 , September 2023, Pages 27-36

https://doi.org/10.22044/jas.2022.11632.1592

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 More

ACENTRALIZERS OF GROUPS OF ORDER p3

Zahra Mozafar; Bijan Taeri

Volume 11, Issue 1 , September 2023, Pages 37-43

https://doi.org/10.22044/jas.2022.11069.1547

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 More

INTRINSIC IDEALS OF DISTRIBUTIVE LATTICES

SAMBASIVA RAO MUKKAMALA

Volume 11, Issue 1 , September 2023, Pages 45-64

https://doi.org/10.22044/jas.2022.11321.1565

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 More

ON THE STRONG DOMINATING SETS OF GRAPHS

Hassan Zaherifar; Saeid Alikhani; Nima Ghanbari

Volume 11, Issue 1 , September 2023, Pages 65-76

https://doi.org/10.22044/jas.2022.11646.1595

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 More

CHARACTERIZATION OF JORDAN $\{g, h\}$-DERIVATIONS OVER MATRIX ALGEBRAS

Arindam Ghosh; Om Prakash

Volume 11, Issue 1 , September 2023, Pages 77-95

https://doi.org/10.22044/jas.2022.11250.1562

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 More

SOME RESULTS ON THE ARTINIAN COFINITE MODULES

Gholamreza Pirmohammadi

Volume 11, Issue 1 , September 2023, Pages 97-103

https://doi.org/10.22044/jas.2022.11608.1588

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

Tahsin Oner; T Kalkan; Arsham Borumand Saeid

Volume 11, Issue 1 , September 2023, Pages 105-135

https://doi.org/10.22044/jas.2022.11512.1582

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 More

LOCATION OF SOLID BURST WITHIN TWO ADJACENT SUB-BLOCKS

Pankaj Kumar Das

Volume 11, Issue 1 , September 2023, Pages 137-147

https://doi.org/10.22044/jas.2022.11136.1552

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 More

Varieties Of Permutative Semigroups Closed Under Dominions

Humaira Maqbool; Mohammad Younus Bhat

Volume 11, Issue 1 , September 2023, Pages 149-172

https://doi.org/10.22044/jas.2022.12018.1617

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 More

ON THE FINITENESS OF FORMAL LOCAL COHOMOLOGY MODULES

Shahram Rezaei; Mahbobeh Gasemi-Kalemasihi

Volume 11, Issue 1 , September 2023, Pages 173-187

https://doi.org/10.22044/jas.2022.11072.1549

Abstract
  Let a be an ideal of local ring (R;m) and M a nitely generated R-module. Inthis paper, we prove some results concerning niteness and minimaxness of formal local cohomologymodules. In particular, we investigate some properties of top formal local cohomologyFdimM=aMa (M) and we determine CosR(FdimM=aMa ...  Read More