On the Associated Primes and the Support of Local Cohomology Modules

DOI10.1142/S1005386708000576zbMath1159.13008OpenAlexW1990989883MaRDI QIDQ3597569

Nong Quoc Chinh, Le Thanh Nhan

Publication date: 9 February 2009

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386708000576

zbMATH Keywords

local cohomologyregular sequencesassociated prime ideals

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (3)

\(k\)-regular sequences to extension functors and local cohomology modules ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• An example of an infinite set of associated primes of a local cohomology module
• The f-depth of an ideal on a module
• ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES
• The associated primes of local cohomology modules over rings of small dimension

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