Results 11 to 20 of about 600,300 (198)
Open Mathematics, 2016 In this article we introduce and study the concept of α-almost Artinian modules. We show that each α-almost Artinian module M is almost Artinian (i.e., every proper homomorphic image of M is Artinian), where α ∈ {0,1}.
Davoudian Maryam +2 more
doaj +3 more sources
On Neutrosophic Multiplication Module [PDF]
Neutrosophic Sets and Systems, 2022 In this article, we investigate some new results of Neutrosophic multiplication module E (shortly Ne(E)). We additionally introduce some light points about some concepts in which have relationship with Neutrosophic multiplication module. We prove that if
Majid Mohammed Abed +2 more
doaj +2 more sources
ON THE PROJECTIVE DIMENSION OF ARTINIAN MODULES [PDF]
Journal of Algebraic Systems, 2021 Let $(R, \mathfrak{m})$ be a Noetherian local ring and $M$, $N$ be two finitely generated $R$-modules. In this paper it is shown that $R$ is a Cohen-Macaulay ring if and only if $R$ admits a non-zero Artinian $R$-module $A$ of finite projective dimension;
Y. Irani, K. Bahmanpour, Gh. Ghasemi
doaj +2 more sources
Notes on reduced, artinian and multiplication modules [PDF]
Journal of Hyperstructures, 2014 Let M be a unitary module over a commutative ring R with identity. In this paper we consider the concepts of Artinian, semi-Artinian, reduced and multiplication modules . Also we call an R-module M radical, if it has no maximal submodule.
Jafar A’zami, Mahdieh Savaedi
doaj +2 more sources
Artinian and Non-Artinian Local Cohomology Modules [PDF]
Canadian Mathematical Bulletin, 2011 AbstractLet M be a finite module over a commutative noetherian ring R. For ideals a and b of R, the relations between cohomological dimensions of M with respect to a, b, a ⋂ b and a + b are studied. When R is local, it is shown that M is generalized Cohen–Macaulay if there exists an ideal a such that all local cohomology modules of M with respect to a ...
Dibaei, Mohammad T., Vahidi, Alireza
openaire +3 more sources
On the structure of artinian-by-(finite rank) modules over generalized soluble groups
Vìsnik Dnìpropetrovsʹkogo Unìversitetu: Serìâ Matematika, 2014 Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank), if $\mathrm{Tor}_R(A)$ is artinian and $A/\mathrm{Tor}_R(A)$ has finite R-rank.
V.A. Chupordia
doaj +1 more source
SOME RESULTS ON THE ARTINIAN COFINITE MODULES [PDF]
Journal of Algebraic Systems, 2023 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 ...
Gholamreza Pirmohammadi
doaj +3 more sources
IRRELEVANT ATTACHED PRIME IDEALS OF A CERTAIN ARTINIAN MODULE OVER A COMMUTATIVE RING [PDF]
Journal of Sciences, Islamic Republic of Iran, 1996 Let M be an Artinian module over the commutative ring A (with nonzero identity) and a p spec A be such that a is a finitely generated ideal of A and aM = M. Also suppose that H = H where H.
doaj +1 more source
Some results on top local cohomology modules with respect to a pair of ideals [PDF]
Mathematica Bohemica, 2020 Let $I$ and $J$ be ideals of a Noetherian local ring $(R,\mathfrak m)$ and let $M$ be a nonzero finitely generated $R$-module. We study the relation between the vanishing of $H_{I,J}^{\dim M}(M)$ and the comparison of certain ideal topologies.
Saeed Jahandoust, Reza Naghipour
doaj +1 more source
Eventually semisimple weak $FI$-extending modules [PDF]
Mathematica Bohemica, 2023 In this article, we study modules with the weak $FI$-extending property. We prove that if $M$ satisfies weak $FI$-extending, pseudo duo, $C_3$ properties and $M/{\rm Soc} M$ has finite uniform dimension then $M$ decomposes into a direct sum of a ...
Figen Takil Mutlu +2 more
doaj +1 more source