Results 161 to 170 of about 6,262,439 (184)

On the Finiteness Dimension of Local Cohomology Modules

Algebra Colloquium, 2014
Let R be a commutative Noetherian ring, 𝔞 an ideal of R, and M a non-zero finitely generated R-module. Let t be a non-negative integer. In this paper, it is shown that [Formula: see text] for all i < t if and only if there exists an ideal 𝔟 of R such that dim R/𝔟 ≤ 1 and [Formula: see text] for all i < t.
Saremi, Hero, Mafi, Amir
openaire   +1 more source

COFINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Bulletin of the Australian Mathematical Society, 2011
AbstractLet 𝔞 be an ideal of a Noetherian ring R. Let s be a nonnegative integer and let M and N be two R-modules such that ExtjR(M/𝔞M,Hi𝔞(N)) is finite for all i<s and all j≥0 . We show that HomR (R/𝔞,Hs𝔞(M,N)) is finite provided ExtsR(M/𝔞M,N) is a finite R-module.
Borna, Keivan, Sahandi, Parviz, Yassemi, Siamak   +2 more
openaire   +1 more source

Matlis dual of local cohomology modules

Czechoslovak Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naal, Batoul, Khashyarmanesh, Kazem
openaire   +1 more source

Artinianness of composed local cohomology modules

2016
Summary: Let \(R\) be a commutative Noetherian ring, and let \(\underline{a}, \underline{b}\) be two ideals of \(R\) such that \(R/(\underline{a}+\underline{b})\) is Artinian. Let \(M\) and \(N\) be two finitely generated \(R\)-modules. We prove that \(H_{\underline{b}}^j(H_{\underline{a}}^t(M,N))\) is Artinian for \(j=0,1\), where \(t=\mathrm{inf}\{i ...
openaire   +2 more sources

On the Artinianness of Graded Local Cohomology Modules

Algebra Colloquium, 2010
Let R = ⨁n≥ 0 Rn be a homogeneous noetherian ring with local base ring [Formula: see text], and N a finitely generated graded R-module. Let [Formula: see text] be the i-th local cohomology module of N with respect to R+ := ⨁n > 0 Rn. Let t be the largest integer such that [Formula: see text] is not minimax.
openaire   +2 more sources

Local cohomology and the multigraded regularity of ℱℐm-modules

Journal of Commutative Algebra, 2021
Liping Li
exaly  

Local Cohomology Modules for Normal Domains

Journal of the London Mathematical Society, 1979
Evans, E. Graham jun., Griffith, Phillip A.   +1 more
openaire   +1 more source

Depth and the local cohomology of FIG-modules

Advances in Mathematics, 2018
Liping Li
exaly  

Cofiniteness of local cohomology modules for ideals of small dimension

Journal of Algebra, 2009
Kamal Bahmanpour, Reza Naghipour
exaly  

Finiteness properties of local cohomology modules (an application ofD-modules to commutative algebra)

Inventiones Mathematicae, 1993
Gennady Lyubeznik
exaly