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Modules cofinite and weakly cofinite with respect to an ideal [PDF]

Journal of Algebra and Its Applications, 2018
The purpose of the present paper is to continue the study of modules cofinite and weakly cofinite with respect to an ideal [Formula: see text] of a Noetherian ring [Formula: see text]. It is shown that an [Formula: see text]-module [Formula: see text] is cofinite with respect to [Formula: see text], if and only if, [Formula: see text] is finitely ...
Bahmanpour, K., Naghipour, R., Sedghi, M.   +2 more
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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

Cofinitely Goldie*-Supplemented Modules

Journal of New Theory, 2023
One of the generalizations of supplemented modules is the Goldie*-supplemented module, defined by Birkenmeier et al. using $\beta^{\ast}$ relation. In this work, we deal with the concept of the cofinitely Goldie*-supplemented modules as a version of ...
Ayşe Tuğba Güroğlu
doaj   +1 more source

FINITENESS PROPERTIES OF LOCALE COHOMOLOGY MODULES FOR (I;J)- MINIMAX MODULES [PDF]

Journal of Mahani Mathematical Research, 2018
. Let R be a commutative noetherian ring, I and J are two ideals of R. Inthis paper we introduce the concept of (I;J)- minimax R- module, and it is shown thatif M is an (I;J)- minimax R- module and t a non-negative integer such that HiI;J(M) is(I;J ...
Javad Tayyebi
doaj   +1 more source

? - cofinitely supplemented modules

Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2004
Let R be a ring with identity and M a unitary right 7f-module. M is called //-cofinitely supplemented if for every cofînite submodule A of M, there exists a direct summand A 1 of M such that M = A + X holds if and only if M = A 1 + X , and M is ...
H. Çalişici, A. Pancar
openaire   +4 more sources

Cofinitely Weak Supplemented Modules [PDF]

Communications in Algebra, 2003
Abstract We prove that a module M is cofinitely weak supplemented or briefly cws (i.e., every submodule N of M with M/N finitely generated, has a weak supplement) if and only if every maximal submodule has a weak supplement. If M is a cws-module then every M-generated module is a cws-module. Every module is cws if and only if the ring is semilocal.
Alizade, Rafail, Büyükaşık, Engin
openaire   +2 more sources

ON THE COFINITENESS OF LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems
Suppose that $\ab$ is an ideal of a given commutative Noetherian ring $R$ such that the $R$-modules $H^1_{\ab}(M)$ and $H^3_{\ab}(M)$ are $\ab$-cofinite, for every finitely generated $R$-modules $M$. In this paper, it is shown that the $R$-modules $H^i_{\
Gholamreza Pirmohammadi
doaj   +1 more source

A criterion for cofiniteness of modules

Rendiconti del Seminario Matematico della Università di Padova, 2023
Let A be a commutative noetherian ring, \mathfrak{a} be an ideal of A , and
Khazaei, Mohammad, Sazeedeh, Reza
openaire   +3 more sources

Extension Functors of Generalized Local Cohomology Modules

پژوهش‌های ریاضی, 2021
Introduction Throughout this paper,  is a commutative Noetherian ring with non-zero identity,  is an ideal of ,  is a finitely generated -module, ‎and  is an arbitrary -module which is not necessarily finitely generated.
Alireza Vahidi, Faisal Hassani, Elham Hoseinzade   +2 more
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ON THE COMINIMAXNESS OF LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Hi I (M) are I-cominimax, for all finitely generated R-modules M and all i ∈ N0, if the R-modules Hi I (R) are I-cofinite with dimension not exceeding 1, for all ...
Ghader Ghasemi, Jafar Azami
doaj   +1 more source