Associated primes of local cohomology modules

DOI10.1090/S0002-9939-04-07728-7zbMath1103.13010arXivmath/0410598MaRDI QIDQ4829882

Amir Mafi, Kamran Divaani-Aazar

Publication date: 1 December 2004

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

Full work available at URL: https://arxiv.org/abs/math/0410598

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (60)

Graded Local Cohomology: Attached and Associated Primes, Asymptotic Behaviors ⋮ Faltings’ Local-global Principle for the Finiteness of Local Cohomology Modules over Noetherian Rings ⋮ A generalization of the finiteness problem in local cohomology modules ⋮ Cofiniteness and Artinianness of certain local cohomology modules ⋮ The finiteness dimension of local cohomology modules and its dual notion ⋮ 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 ⋮ A generalization of the finiteness problem of the local cohomology modules ⋮ Some results on the local cohomology of minimax modules ⋮ Abelian category of weakly cofinite modules and local cohomology ⋮ Some results on the finiteness of generalized local cohomology modules using Serre classes ⋮ On the cofiniteness of local cohomology modules in dimension \(< 2\) ⋮ Cofiniteness of local cohomology modules for a pair of ideals for small dimensions ⋮ General local cohomology modules with small dimensions ⋮ Unnamed Item ⋮ A Note on Local Cohomology ⋮ Coassociated primes of local homology and local cohomology modules ⋮ A characterization of cominimax and weakly cofinite modules ⋮ Generalized Regular Sequence and Finiteness of Local Cohomology Modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Extension functors of cominimax modules ⋮ Weakly cofiniteness of local cohomology modules ⋮ ARTINIANNESS OF LOCAL COHOMOLOGY MODULES OF ZD-MODULES ⋮ On the finiteness properties of Matlis duals of local cohomology modules ⋮ RESULTS ON LOCAL COHOMOLOGY OF WEAKLY LASKERIAN MODULES ⋮ Faltings’ local–global principle for the in dimension <n of local cohomology 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 ⋮ Local cohomology and Serre subcategories ⋮ FINITENESS PROPERTIES OF LOCAL COHOMOLOGY MODULES AND GENERALIZED REGULAR SEQUENCES ⋮ On the finiteness results of generalized local cohomology modules with respect to a pair of ideals ⋮ Cofiniteness properties of generalized local cohomology modules ⋮ Associated primes and cofiniteness of local cohomology modules ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Cofiniteness of extension functors of cofinite modules ⋮ A natural map in local cohomology ⋮ Finiteness properties of minimax and coatomic local cohomology modules ⋮ Associated primes of local cohomology modules of generalized Laskerian modules ⋮ On the cofiniteness of generalized local cohomology modules ⋮ Associated Primes of Local Cohomology Modules of Weakly Laskerian Modules ⋮ Finiteness of local homology modules ⋮ On the Finiteness Results of the Generalized Local Cohomology Modules ⋮ Cofiniteness of local cohomology modules for ideals of small dimension ⋮ A Finiteness Result for Co-Associated and Associated Primes of Generalized Local Homology and Cohomology Modules ⋮ Cominimaxness of local cohomology modules ⋮ Faltings’ local–global principle and annihilator theorem for the finiteness dimensions ⋮ On coLaskerian module and local cohomology ⋮ Unnamed Item ⋮ Faltings' Local-Global Principle for the Minimaxness of Local Cohomology Modules ⋮ Grade of Ideals with Respect to Torsion Theories ⋮ Faltings’ Local-Global Principle for the Finiteness of Local Cohomology Modules ⋮ Unnamed Item ⋮ On Weakly Laskerian and Weakly Cofinite Modules ⋮ Some Results on Generalized Local Cohomology Modules ⋮ Finiteness properties of extension functors of cominimax modules ⋮ Modules cofinite and weakly cofinite with respect to an ideal ⋮ ON THE BEHAVIOR OF APPLYING DERIVED FUNCTORS OF TORSION FUNCTORS ON LOCAL COHOMOLOGY MODULES

Cites Work

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• Rings with Morita duality
• \(p\)-torsion elements in local cohomology modules
• Affine duality and cofiniteness
• Flat Covers and Flat Cotorsion Modules
• Cofiniteness of Local Cohomology Modules for Principal Ideals
• Endomorphism rings and tensor products of linearly compact modules
• Cofiniteness of local cohomology modules for ideals of dimension one
• A finiteness result for associated primes of local cohomology modules
• On the associated primes of local cohomology modules
• Generalized Matlis duality

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