Generalized Regular Sequence and Finiteness of Local Cohomology Modules

DOI10.1142/S1005386708000436zbMath1151.13015MaRDI QIDQ3527460

Amir Mafi, Hero Saremi

Publication date: 29 September 2008

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

zbMATH Keywords

local cohomologysupport of modulesBass numbers, Betti numbersgeneralized f-module

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (2)

On the Finiteness Dimension of Local Cohomology Modules ⋮ FINITENESS DIMENSION AND BASS NUMBERS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Cites Work

• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Cofinite modules and local cohomology
• \(p\)-torsion elements in local cohomology modules
• Modules cofinite with respect to an ideal
• An example of an infinite set of associated primes of a local cohomology module
• Cofiniteness and associated primes of local cohomology modules.
• Some results on local cohomology modules
• A Note on Local Cohomology
• Properties of cofinite modules and applications to local cohomology
• A finiteness result for associated primes of local cohomology modules
• ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES
• Associated primes of local cohomology modules
• On the associated primes of local cohomology modules
• GeneralizedF-Modules and the Associated Primes of Local Cohomology Modules
• A SURJECTIVE HOMOMORPHISM OF LOCAL COHOMOLOGY MODULES
• On the set of associated primes of a local cohomology module

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