Extension functors of local cohomology modules and Serre categories of modules

DOI10.11650/tjm.19.2015.4315zbMath1357.13020OpenAlexW2141030094MaRDI QIDQ514839

Kamal Bahmanpour, Nemat Abazari

Publication date: 9 March 2017

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

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.4315

zbMATH Keywords

Krull dimensionlocal cohomologyassociated prime idealcofinite modulecomplete local ring

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Module categories and commutative rings (13C60)

Related Items (10)

On a question of Hartshorne ⋮ Cofiniteness with respect to the class of modules in dimension less than a fixed integer ⋮ On the Abelian categories of cofinite modules ⋮ A characterization of cominimax and weakly cofinite modules ⋮ Unnamed Item ⋮ Cofiniteness of local cohomology modules in the class of modules in dimension less than a fixed integer ⋮ On the cofiniteness of generalized local cohomology modules with respect to the class of modules in dimension less than a fixed integer ⋮ Cofiniteness of torsion functors of a pair of cofinite modules ⋮ Unnamed Item ⋮ Cohomological dimension, cofiniteness and abelian categories of cofinite modules

Cites Work

• A new proof of Faltings' local-global principle for the finiteness of local cohomology modules
• On the Category of Weakly Laskerian Cofinite Modules

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