Finiteness dimensions and cofiniteness of local cohomology modules

DOI10.1216/rmj.2021.51.1079zbMath1475.13025OpenAlexW3193739618MaRDI QIDQ1983239

Elahe Mahmoudi Renani, Moharram Aghapournahr, Alireza Vahidi

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.1079

zbMATH Keywords

local cohomology modulescofinite modulesminimax modulesweakly Laskerian modulesfiniteness dimensions

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Cites Work

• Torsion functors of local cohomology modules
• Cofiniteness of local cohomology modules for ideals of small dimension
• Minimax-Moduln. (Minimax modules)
• Der Endlichkeitssatz in der lokalen Kohomologie
• Cofinite modules and local cohomology
• \(p\)-torsion elements in local cohomology modules
• Faltings' local-global principle for finiteness dimension of cofinite modules
• Extension functors of local cohomology modules
• Modules cofinite with respect to an ideal
• An example of an infinite set of associated primes of a local cohomology module
• Cohomological dimension, cofiniteness and abelian categories of cofinite modules
• Cofiniteness with respect to ideals of dimension one
• Affine duality and cofiniteness
• Minimaxness and Cofiniteness Properties of Local Cohomology Modules
• On the Category of Weakly Laskerian Cofinite Modules
• Cofiniteness of weakly Laskerian local cohomology modules
• Artinian and Non-Artinian Local Cohomology Modules
• On Vanishing and Cofiniteness of Generalized Local Cohomology Modules
• Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings
• On the cofiniteness of local cohomology modules
• On the finiteness of associated primes of local cohomology modules
• Cofiniteness of local cohomology modules for ideals of dimension one
• A finiteness result for associated primes of local cohomology modules
• Associated primes of local cohomology modules
• On the associated primes of local cohomology modules
• Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules
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