Some Results on Generalized Local Cohomology Modules

DOI10.1080/00927872.2014.891124zbMath1321.13007arXiv1107.5079OpenAlexW2094583604MaRDI QIDQ5256730

Alireza Vahidi, Moharram Aghapournahr

Publication date: 19 June 2015

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.5079

zbMATH Keywords

Serre subcategoriesgeneralized local cohomology modules

Mathematics Subject Classification ID

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

Related Items (6)

Lower bounds of certain general local cohomology modules ⋮ Unnamed Item ⋮ Extension functors of Cousin cohomology modules ⋮ When does the canonical module of a module have finite injective dimension? ⋮ On the cofiniteness of generalized local cohomology modules with respect to the class of modules in dimension less than a fixed integer ⋮ Finiteness of extension functors of generalized local cohomology modules

Cites Work

• A generalization of the finiteness problem in local cohomology modules
• On the vanishing and the finiteness of supports of generalized local cohomology modules
• Local cohomology and Serre subcategories
• Minimax-Moduln. (Minimax modules)
• Generalized section functors
• Modules cofinite with respect to an ideal
• Affine duality and cofiniteness
• Artinian and Non-Artinian Local Cohomology Modules
• On Vanishing and Cofiniteness of Generalized Local Cohomology Modules
• On the Finiteness Results of the Generalized Local Cohomology Modules
• A common generalization of local cohomology theories
• On Vanishing of Generalized Local Cohomology Modules
• Associated primes of local cohomology modules
• On the Artinianness of Generalized Local Cohomology
• On the Associated Primes of Generalized Local Cohomology Modules
• The associated primes of local cohomology modules over rings of small dimension

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