Subcategories of extension modules by Serre subcategories

DOI10.1090/S0002-9939-2011-11108-0zbMath1273.13018arXiv1011.0376OpenAlexW2057035622MaRDI QIDQ2845046

Takeshi Yoshizawa

Publication date: 22 August 2013

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

Full work available at URL: https://arxiv.org/abs/1011.0376

zbMATH Keywords

local cohomologySerre subcategoryExtension module

Mathematics Subject Classification ID

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

Related Items (23)

Cofiniteness with respect to extension of Serre subcategories ⋮ On the minimaxness and coatomicness of local cohomology modules ⋮ The realization problem for generalized torsion theories ⋮ On the stable under specialization sets and cofiniteness of local cohomology ⋮ Cofiniteness with respect to the class of modules in dimension less than a fixed integer ⋮ Coserreness with respect to specialization closed subsets and some Serre subcategories ⋮ Melkersson condition for extension of Serre subcategories ⋮ Cofiniteness of local cohomology modules for a pair of ideals for small dimensions ⋮ A characterization of cominimax and weakly cofinite modules ⋮ Unnamed Item ⋮ Weakly cofiniteness of local cohomology modules ⋮ The torsion theory and the Melkersson condition ⋮ CFA modules and the finiteness of coassociated primes of local homology modules ⋮ Triangulated subcategories of extensions, stable \(t\)-structures, and triangles of recollements ⋮ Melkersson conditions with respect to a prime ideal ⋮ 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 properties of generalized local cohomology modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Remarks on the local-global principle for a subcategory consisting of extension modules ⋮ Cominimaxness of local cohomology modules ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Local cohomology and Serre subcategories
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Abstract local cohomology functors
• On the cofiniteness of local cohomology modules
• Classifying subcategories of modules over a commutative noetherian ring
• Des catégories abéliennes

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