A new outlook on cofiniteness

DOI10.1215/21562261-2021-0007zbMath1465.13013arXiv1701.07716OpenAlexW3045010205MaRDI QIDQ2216692

Hossein Faridian, Kamran Divaani-Aazar, Massoud Tousi

Publication date: 16 December 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.07716

zbMATH Keywords

cohomological dimensionderived categoryabelian categorylocal cohomology modulecofinite moduledualizing complexlocal homology module

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Derived categories and commutative rings (13D09)

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Cofiniteness of torsion functors of a pair of cofinite modules (II) ⋮ On a question of Hartshorne ⋮ Abelian category of weakly cofinite modules and local cohomology ⋮ Coartinianess of local homology modules for ideals of small dimension ⋮ On the Abelian categories of cofinite modules ⋮ Coserreness with respect to specialization closed subsets and some Serre subcategories ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cofiniteness of torsion functors of ideal transforms

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