On Vanishing and Cofiniteness of Generalized Local Cohomology Modules

DOI10.1080/00927870802622718zbMath1172.13011arXiv0810.3102OpenAlexW2594055896MaRDI QIDQ3395194

Alireza Vahidi, Seyed Hamid Hassanzadeh

Publication date: 24 August 2009

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

Full work available at URL: https://arxiv.org/abs/0810.3102

zbMATH Keywords

generalized local cohomology

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15)

Related Items (10)

Cofiniteness with respect to the class of modules in dimension less than a fixed integer ⋮ Some properties of generalized local cohomology modules with respect to a pair of ideals ⋮ Generalized local duality, canonical modules, and prescribed bound on projective dimension ⋮ Stable under specialization sets and cofiniteness ⋮ On cohomologically complete intersection modules ⋮ Finiteness dimensions and cofiniteness of local cohomology modules ⋮ 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 ⋮ Finiteness of extension functors of generalized local cohomology modules ⋮ Some Results on Generalized Local Cohomology Modules

Cites Work

• Unnamed Item
• Generalized section functors
• Cofinite modules and local cohomology
• Modules cofinite with respect to an ideal
• COFINITE MODULES
• Properties of cofinite modules and applications to local cohomology
• Cofiniteness of Local Cohomology Modules for Principal Ideals
• Cofiniteness of local cohomology modules for ideals of dimension one
• ASSOCIATED PRIMES OF GENERALIZED LOCAL COHOMOLOGY MODULES
• Cofiniteness of generalized local cohomology modules
• On the Associated Primes of Generalized Local Cohomology Modules

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