Results 1 to 10 of about 6,262,439 (184)

GENERALIZED FORMAL LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems, 2023
Let $a$ be an ideal of a local ring $(R, m)$ and $M$ and  $N$ two finitely generated    $R$-modules. In this paper, we introduce the concept of generalized formal local cohomology modules. We define $i$-th generalized formal local cohomology module of $M$
Shahram Rezaei, Fatemeh Lashkari
doaj   +3 more sources

On the Properties of Formal Local Cohomology Modules [PDF]

Journal of Mahani Mathematical Research, 2023
Let  $(R,m)$ be a commutative Noetherian local ring, $a$ an ideal of $R$. Let $t\in\Bbb N_0$ be an integer and $M$ a finitely generated $R$-module such that the $R$-module $\mathfrak{F}^i_{\mathfrak{a}}(M)$ is $\mathfrak{a}$-cominimax for all ...
Behruz Sadeqi
doaj   +2 more sources

ON THE FINITENESS OF FORMAL LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems, 2023
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.
Shahram Rezaei, Mahbobeh Gasemi-Kalemasihi   +1 more
doaj   +2 more sources

ARTINIANNESS OF LOCAL COHOMOLOGY MODULES OF ZD-MODULES [PDF]

Communications in Algebra, 2005
This paper centers around Artinianness of the local cohomology of $ZD$-modules. Let $\fa$ be an ideal of a commutative Noetherian ring $R$. The notion of $\fa$-relative Goldie dimension of an $R$-module $M$, as a generalization of that of Goldie dimension is presented.
Kamran Divaani-Aazar
exaly   +3 more sources

Torsion Functors of Local Cohomology Modules [PDF]

Algebras and Representation Theory, 2009
Through a study of torsion functors of local cohomology modules we improve some non-finiteness results on the top non-zero local cohomology modules with respect to an ideal.
Mohammad T Dibaei
exaly   +4 more sources

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   +3 more sources

ON THE LOCAL COHOMOLOGY OF MINIMAX MODULES [PDF]

Bulletin of the Korean Mathematical Society, 2011
Abstract. Let R be a commutative Noetherian ring, a an ideal of R , and M a minimax R -module. We prove that the local cohomology modules H j a ( M ) are a-cominimax; that is, Ext iR ( R= a ;H j a ( M )) is minimax for all i and j in the following cases: (a) dim R= a = 1; (b) cd(a) = 1, where cd isthe cohomological dimension of a in R ; (c) dim R 2 ...
Amir Mafi
exaly   +2 more sources

The Poincaré-Shannon Machine: Statistical Physics and Machine Learning Aspects of Information Cohomology [PDF]

Entropy, 2019
Previous works established that entropy is characterized uniquely as the first cohomology class in a topos and described some of its applications to the unsupervised classification of gene expression modules or cell types.
Pierre Baudot
doaj   +2 more sources

TOP LOCAL COHOMOLOGY AND TOP FORMAL LOCAL COHOMOLOGY MODULES WITH SPECIFIED ATTACHED PRIMES [PDF]

Journal of Algebraic Systems, 2021
Let (R,m) be a Noetherian local ring, M be a finitely generated R-module of dimension n and a be an ideal of R. In this paper, generalizing the main results of Dibaei and Jafari [3] and Rezaei [8], we will show that if T is a subset of AsshR M, then ...
A. R. Nazari, F. Rastgoo
doaj   +1 more source

FALTINGS’ LOCAL-GLOBAL PRINCIPLE FOR THE MINIMAXNESS OF LOCAL COHOMOLOGY MODULES DEFINED BY A SYSTEM OF IDEALS [PDF]

Journal of Algebraic Systems, 2023
Let R be a commutative Noetherian ring with nonzero identity. Let φ be a system of ideals of R and let M, N two finitely generated R-modules. We prove that there are local- global principles for the finiteness and minimaxness of generalized local ...
F. Dehghani-Zadeh, A.R. Hajikarimi
doaj   +1 more source