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)
NEW MAJORIZATION FOR BOUNDED LINEAR OPERATORS IN HILBERT SPACES

Farzaneh Gorjizadeh; Noha Eftekhari

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

https://doi.org/10.22044/jas.2022.11318.1564

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 ‎$S,T\in B(\mathcal{H}).$ ...  Read More

ISOTONIC CLOSURE FUNCTIONS ON A LOCALE

Toktam Haghdadi; Ali Akbar Estaji

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

https://doi.org/10.22044/jas.2022.12101.1627

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 ...  Read More

ABSORBING PRIME MULTIPLICATION MODULES OVER A PULLBACK RING

Farkhondeh Farzalipour; Peyman Ghiasvand

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

https://doi.org/10.22044/jas.2022.11638.1593

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, ...  Read More

A KIND OF GRAPH STRUCTURE ASSOCIATED WITH ZERO-DIVISORS OF MONOID RINGS

Mohammad Etezadi; Abdollah Alhevaz

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

https://doi.org/10.22044/jas.2022.12238.1646

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 ...  Read More

QUOTIENT STRUCTURES IN EQUALITY ALGEBRAS

Rajab Ali Borzooei; Mohammad Mohseni Takallo; Mona Aaly Kologani; Young Bae Jun

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

https://doi.org/10.22044/jas.2022.11919.1608

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 ...  Read More

A CLASSIFICATION OF EXTENSIONS GENERATED BY A ROOT OF AN EISENSTEIN-DUMAS POLYNOMIAL

َAzadeh Nikseresht

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

https://doi.org/10.22044/jas.2022.11808.1603

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. ...  Read More

SOME PROPERTIES OF SUPER-GRAPH OF (G (R))^c AND ITS LINE GRAPH

Krishna Lalitkumar Purohit; Jaydeep Harjibhai Parejiya

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

https://doi.org/10.22044/jas.2022.12098.1628

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, ...  Read More

EXTENSION AND TORSION FUNCTORS WITH RESPECT TO SERRE CLASSES

Sajad Arda; Seadat ollah Faramarzi

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

https://doi.org/10.22044/jas.2022.11683.1597

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. ...  Read More

UNIFORMLY N-IDEALS OF COMMUTATIVE RINGS

Mohammad Baziar; Afroozeh Jafari; Ece Y Yetkin Celikel

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

https://doi.org/10.22044/jas.2022.12319.1658

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 ...  Read More

ON THE MINIMAXNESS AND ARTINIANNESS DIMENSIONS

Jafar Azami; Mohammad Reza Doustimehr

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

https://doi.org/10.22044/jas.2022.11553.1584

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 ∈ ...  Read More

POLYMATROIDAL IDEALS AND LINEAR RESOLUTION

Somayeh Bandari

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

https://doi.org/10.22044/jas.2022.11950.1610

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 ...  Read More

ON THE DOMINATION NUMBER OF THE SUM ANNIHILATING IDEAL GRAPH OF A COMMUTATIVE RING AND ON THE DOMINATION NUMBER OF ITS COMPLEMENT

Subramanian Visweswaran; Patat Sarman

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

https://doi.org/10.22044/jas.2022.12110.1630

Abstract
  The rings considered in this article are commutative with identity which are not integral domains. Let R be a ring. The sum annihilating ideal graph of R is an undirected graph whose vertex set is the set of all non-zero annihilating ideals of R and distinct vertices I and J are adjacent if and only ...  Read More