The local cohomology modules of Matlis reflexive modules are almost cofinite

DOI10.1090/S0002-9939-96-03326-6zbMath0863.13005OpenAlexW1529985099MaRDI QIDQ4714673

Susan Palmer Slattery, Cameron Wickham, Richard G. Belshoff

Publication date: 8 June 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03326-6

zbMATH Keywords

Extlocal cohomologyBass numbersMatlis reflexive modulelocal Gorenstein domain

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

Related Items (7)

On the Finiteness Dimension of Local Cohomology Modules ⋮ Cofinite modules and local cohomology ⋮ Cofiniteness of local cohomology modules for a pair of ideals for small dimensions ⋮ COFINITE MODULES ⋮ When Are the Local Cohomology Modules Finitely Generated? ⋮ Matlis reflexive and generalized local cohomology modules ⋮ On the Local Cohomology of Matlis Reflexive Modules

Cites Work

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• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Cofinite modules and local cohomology
• Affine duality and cofiniteness
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• On the ubiquity of Gorenstein rings
• Bass Numbers of Local Cohomology Modules
• Flat Covers and Flat Cotorsion Modules
• Cofiniteness and vanishing of local cohomology modules
• On the cofiniteness of local cohomology modules
• Some change of ring theorems for matlis reflexive modules

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