Filter Depth and Cofiniteness of Local Cohomology Modules Defined by a Pair of Ideals

DOI10.1142/S1005386714000546zbMath1304.13037MaRDI QIDQ2928443

Atiyeh Pour Eshmanan Talemi, Abolfazl Tehranian

Publication date: 7 November 2014

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

zbMATH Keywords

local cohomologyArtinian module\(f\)-depth

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (2)

General local cohomology modules with small dimensions ⋮ On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals

Cites Work

• Local cohomology and Serre subcategories
• On cohomologically complete intersections
• Local cohomology based on a nonclosed support defined by a pair of ideals
• Über die Annulatoren lokaler Kohomologiegruppen
• Modules cofinite with respect to an ideal
• Some applications of a criterion for Artinianness of a module
• Associated primes and cofiniteness of local cohomology modules
• The f-depth of an ideal on a module
• Verallgemeinerte COHEN-MACAULAY-Moduln

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