On the finiteness of Bass numbers of local cohomology modules

DOI10.1090/S0002-9939-96-03399-0zbMath0860.13011OpenAlexW1490328786MaRDI QIDQ3837576

Ken-ichiroh Kawasaki

Publication date: 10 December 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03399-0

zbMATH Keywords

Extanalytically irreducible local ringBass number of local cohomology modules

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and commutative rings (13D45) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Local cohomology and algebraic geometry (14B15)

Related Items (30)

ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ On the Finiteness Dimension of Local Cohomology Modules ⋮ The minimum Rényi entropy output of a quantum channel is locally additive ⋮ On the characterizations of cofinite complexes over affine curves and hypersurfaces ⋮ On a characterization of cofinite complexes. Addendum to ``On a category of cofinite modules which is abelian ⋮ Artinian cofinite modules and going-up for \(R\subseteq \widehat {R}\) ⋮ A characterization of cofinite complexes over complete Gorenstein domains ⋮ On a category of cofinite modules which is abelian ⋮ Bass numbers of derived local cohomology with respect to a specialization closed subset ⋮ Cofiniteness and non-vanishing of local cohomology modules ⋮ Bass numbers of local cohomology modules with respect to an ideal ⋮ On the category of cofinite modules which is Abelian ⋮ Artinian cofinite modules over complete Noetherian local rings ⋮ COFINITE MODULES ⋮ Cofiniteness properties of generalized local cohomology modules ⋮ Unnamed Item ⋮ Cofiniteness of extension functors of cofinite modules ⋮ Localization at countably infinitely many prime ideals and applications ⋮ On the cofiniteness of Artinian local cohomology modules ⋮ On finiteness properties of local cohomology modules over Cohen-Macaulay local rings ⋮ On the cofiniteness of generalized local cohomology modules ⋮ A Note on Cofinite Modules ⋮ Cofiniteness of local cohomology modules for ideals of small dimension ⋮ A generalization of the cofiniteness problem in local cohomology modules ⋮ Some equivalent conditions for Huneke’s two conjectures ⋮ Minimaxness and Cofiniteness Properties of Local Cohomology Modules ⋮ FINITENESS DIMENSION AND BASS NUMBERS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Finiteness properties of extension functors of cominimax modules ⋮ Modules cofinite and weakly cofinite with respect to an ideal ⋮ Cofiniteness with respect to ideals of small dimensions

Cites Work

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• Injective modules over Noetherian rings
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• Algebraic De Rham cohomology
• On the ubiquity of Gorenstein rings
• Bass Numbers of Local Cohomology Modules
• Cohomological Dimension and Abelian Varieties
• Cofiniteness and vanishing of local cohomology modules
• On the cofiniteness of local cohomology modules
• AN ELEMENTARY PROOF OF THE NON-VANISHING OF CERTAIN LOCAL COHOMOLOGY MODULES

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