Associated primes and cofiniteness of local cohomology modules
By M. Dibaei, Siamak Yassemi. 2004
65 citations recorded by the source corpus.
Abstract.Let be an ideal of Noetherian ring R and let s be a non-negative integer. Let M be an R-module such that is finite R-module. If s is the first integer such that the local cohomology module is non -cofinite, then we show that is finite. In particular, the set of associated primes of is finite. Let be a local Noetherian ring and let M be a finite R-module. We study the last integer n such that the local cohomology module is not -cofinite and show that n just depends on the support of M.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/005ef779dc451e3cd4e5e81ee6bdba166cf6339a
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In Algebra and Number Theory
In Computational Theory and Mathematics
In Geometry and Topology
Citations in the corpus
- Local cohomology and Serre subcategories (2008, background): “For example when S = {0}, then tS(a,M)= cd(a,M) and when S is the class of artinian modules, then tS(a,M)= q(a,M) as in [13] and [9].”