On annihilators and associated primes of local cohomology modules
By M. Brodmann, C. Rotthaus, R. Y. Sharp. 2000
62 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/48d53575f4afe7d8e91e465f5f6fe6950f95ac11
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- p-torsion elements in local cohomology modules (2004, unknown): “In [Hu] Craig Huneke first raised the following question: for a Noetherian ring R, an ideal a ⊂ R, and a finitely generated R-module M, is the number of associated primes ideals of Hi a(M) always finite? For some of the work on this problem, we refer the reader to the papers [BL, BRS , He] in addit”
- Associated primes of local cohomology modules and of Frobenius powers (2004, background): “For some of the other work on this question, we refer the reader to [4, 5, 8, 22, 25, 32].”
- The associated primes of local cohomology modules over rings of small dimension (2001, result): “I (M) has only nitely many associated primes (in the non-local case) has also been observed in [ BRS , Remark 3.11], but to the best of our knowledge the niteness of AssR Hd 1”
- Associated primes and cofiniteness of local cohomology modules (2004, background): “re-proves first part of (2.4) and generalizes (2.5) of Brodmann, Rotthaus and Sharp [ BRS ].”