Results 91 to 100 of about 121 (115)

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

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

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

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

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

Finiteness Properties of Local Cohomology Modules (an Application ofD-Modules to Commutative Algebra)

Inventiones Mathematicae, 1993
Gennady Lyubeznik
exaly  

On the Vanishing of Local Cohomology Modules

Inventiones Mathematicae, 1990
C Huneke
exaly  

Bass Numbers of Local Cohomology Modules

Transactions of the American Mathematical Society, 1993
Rodney Y Sharp
exaly  

Depth and the Local Cohomology of FIG-Modules

Advances in Mathematics, 2018
Liping Li, Eric Ramos
exaly  

Associated Primes and Cofiniteness of Local Cohomology Modules

Manuscripta Mathematica, 2005
Siamak Yassemi, Mohammad Taghi Dibaei
exaly