On the finiteness properties of extension and torsion functors of local cohomology modules

DOI10.1090/S0002-9939-06-08664-3zbMath1111.13016OpenAlexW2064236942WikidataQ58841508 ScholiaQ58841508MaRDI QIDQ3425977

Kazem Khashyarmanesh

Publication date: 7 March 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08664-3

zbMATH Keywords

local cohomologytorsion functorcofinitenessextension functor

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (22)

Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings ⋮ Some splitting theorems for extension and torsion functors of local cohomology modules ⋮ A generalization of the finiteness problem of the local cohomology modules ⋮ On the support of local cohomology modules and filter regular sequences ⋮ Unnamed Item ⋮ Socle finiteness of local cohomology modules and Gorenstein ideals ⋮ Matlis dual of local cohomology modules ⋮ On the finiteness properties of Matlis duals of local cohomology modules ⋮ Filter regular sequences and endomorphisms of local cohomology modules ⋮ FINITENESS PROPERTIES OF LOCAL COHOMOLOGY MODULES AND GENERALIZED REGULAR SEQUENCES ⋮ Torsion functors of local cohomology modules ⋮ When Are the Local Cohomology Modules Finitely Generated? ⋮ Some finiteness results for local cohomology modules with respect to a pair of ideals ⋮ A Note on Cofinite Modules ⋮ On the Annihilators of Local Cohomology Modules ⋮ A Characterization of Gorenstein Rings and Grothendieck's Conjecture ⋮ Comparison of local cohomlogy modules of a ring and its amalgamated algebra along a given ideal ⋮ Minimaxness and Cofiniteness Properties of Local Cohomology Modules ⋮ ON THE FINITENESS OF BASS NUMBERS OF LOCAL COHOMOLOGY MODULES ⋮ On Weakly Laskerian and Weakly Cofinite Modules ⋮ Cofiniteness with respect to ideals of small dimensions ⋮ FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES

Cites Work

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• Filter regular sequences and the finiteness of local cohomology modules
• Properties of cofinite modules and applications to local cohomology
• On the cofiniteness of local cohomology modules
• Coassociated primes
• Cofiniteness of local cohomology modules for ideals of dimension one
• A finiteness result for associated primes of local cohomology modules
• On the associated primes of local cohomology modules
• Finiteness of Extension Functors of Local Cohomology Modules

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