On the cofiniteness of small-level generalized local cohomology modules

DOI10.1007/s41980-019-00287-3zbMath1461.13019OpenAlexW2971090151WikidataQ127314116 ScholiaQ127314116MaRDI QIDQ779721

Nguyen Van Hoang, Ngo Thi Ngoan

Publication date: 14 July 2020

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-019-00287-3

zbMATH Keywords

minimaxgeneralized local cohomologyArtiniancofinite

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Cites Work

• On the vanishing and the finiteness of supports of generalized local cohomology modules
• Generalized local cohomology and regularity of Ext modules
• Cofiniteness of local cohomology modules for ideals of small dimension
• Minimax-Moduln. (Minimax modules)
• On the generalized local cohomology and its duality
• Generalized section functors
• Cofinite modules and local cohomology
• Duality and vanishing of generalized local cohomology
• Modules cofinite with respect to an ideal
• On Faltings' local-global principle of generalized local cohomology modules
• Affine duality and cofiniteness
• Minimaxness and Cofiniteness Properties of Local Cohomology Modules
• On asymptotic stability for sets of prime ideals connected with the powers of an ideal
• A common generalization of local cohomology theories
• Cofiniteness of local cohomology modules for ideals of dimension one
• Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules
• On the cofiniteness of generalized local cohomology modules
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