On the associated primes of local cohomology modules

DOI10.1080/00927879908826816zbMath0940.13013OpenAlexW2023978262MaRDI QIDQ4934126

Shokrollah Salarian, Kazem Khashyarmanesh

Publication date: 17 April 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826816

zbMATH Keywords

local cohomologyunconditioned strong \(d\)-sequence

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Local cohomology and commutative rings (13D45)

Related Items (44)

Matlis Duality and Finiteness Properties of Generalized Local Cohomology Modules ⋮ ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ 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 ⋮ Some splitting theorems for extension and torsion functors of local cohomology modules ⋮ On the support of local cohomology ⋮ Associated primes of local cohomology modules ⋮ 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 finiteness of generalized local cohomology modules using Serre classes ⋮ On the support of local cohomology modules and filter regular sequences ⋮ Cofiniteness of local cohomology modules for a pair of ideals for small dimensions ⋮ On the finiteness properties of associated primes of generalized local cohomology modules ⋮ Coassociated primes of local homology and local cohomology modules ⋮ Generalized Regular Sequence and Finiteness of Local Cohomology Modules ⋮ Extension functors of cominimax modules ⋮ On the vanishing and the finiteness of supports of generalized local cohomology modules ⋮ Matlis dual of local cohomology modules ⋮ On the finiteness properties of Matlis duals of local cohomology modules ⋮ Finiteness dimensions and cofiniteness of local cohomology modules ⋮ Local cohomology and Serre subcategories ⋮ FINITENESS PROPERTIES OF LOCAL COHOMOLOGY MODULES AND GENERALIZED REGULAR SEQUENCES ⋮ On the finiteness of associated primes of local cohomology modules ⋮ On The Finiteness and Stability of Certain Sets of Associated Prime Ideals of Local Cohomology Modules ⋮ Associated primes and cofiniteness of local cohomology modules ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Unnamed Item ⋮ On the Finiteness Property of Generalized Local Cohomology Modules ⋮ ON GENERALIZED REGULAR SEQUENCES AND THE FINITENESS FOR ASSOCIATED PRIMES OF LOCAL COHOMOLOGY MODULES ⋮ Associated primes of local cohomology modules of generalized Laskerian modules ⋮ Asymptotic Stability of Certain Sets of Associated Prime Ideals of Local Cohomology Modules ⋮ Associated Primes of Local Cohomology Modules of Weakly Laskerian Modules ⋮ On the Finiteness Properties of U_iAss_RExt_Rⁿ(R/α^I, M) ⋮ On the Finiteness Results of the Generalized Local Cohomology Modules ⋮ Filter Regular Sequences and Generalized Local Cohomology Modules ⋮ Cofiniteness of local cohomology modules for ideals of small dimension ⋮ A generalization of the cofiniteness problem in local cohomology modules ⋮ On the Associated Primes of Generalized Local Cohomology Modules ⋮ A Note on the Associated Primes of Local Cohomology Modules ⋮ On coLaskerian module and local cohomology ⋮ A Remark on the Finiteness Dimension ⋮ On the finiteness properties of extension and torsion functors of local cohomology modules ⋮ On Weakly Laskerian and Weakly Cofinite Modules

Cites Work

• Unnamed Item
• Der Endlichkeitssatz in der lokalen Kohomologie
• Über die Annulatoren lokaler Kohomologiegruppen
• The theory of d-sequences and powers of ideals
• Bass Numbers of Local Cohomology Modules
• On the Generalized Fractions of Sharp and Zakeri
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Filter regular sequences and the finiteness of local cohomology modules
• Absolutely superficial sequences
• Uniform annihilation of local cohomology and of Koszul homology

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