On the category of confinite modules for principal ideals

zbMath1247.14003MaRDI QIDQ431580

Ken-ichiroh Kawasaki

Publication date: 28 June 2012

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1339696712

zbMATH Keywords

local cohomologyabelian categorycofinite module

Mathematics Subject Classification ID

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

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Cites Work

• Unnamed Item
• A characterization of cofinite complexes over complete Gorenstein domains
• On a category of cofinite modules which is abelian
• Cofinite modules and local cohomology
• Affine duality and cofiniteness
• Cofiniteness and vanishing of local cohomology modules
• Cofiniteness of Local Cohomology Modules for Principal Ideals