Filter regular sequences and the finiteness of local cohomology modules

DOI10.1080/00927879808826293zbMath0909.13007OpenAlexW2027518892MaRDI QIDQ4212520

Kazem Khashyarmanesh, Shokrollah Salarian

Publication date: 7 April 1999

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

Full work available at URL: https://doi.org/10.1080/00927879808826293

zbMATH Keywords

local cohomology moduleregular \(M\)-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)

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A FINITENESS RESULT FOR LOCAL COHOMOLOGY MODULES ⋮ A Note on the Set of Associated Primes of Local Cohomology Modules ⋮ Some splitting theorems for extension and torsion functors of local cohomology modules ⋮ Modules whose finiteness dimensions coincide with their cohomological dimensions ⋮ The \(\mathfrak{a}\)-filter grade of an ideal \(\mathfrak{b}\) and \((\mathfrak{a},\mathfrak{b})\)-f-modules ⋮ On the finiteness properties of associated primes of generalized local cohomology modules ⋮ Matlis dual of local cohomology modules ⋮ A SURJECTIVE HOMOMORPHISM OF LOCAL COHOMOLOGY MODULES ⋮ On the finiteness properties of Matlis duals of local cohomology modules ⋮ On the associated primes of local cohomology modules ⋮ A Surjective Homomorphism from Ordinary Local Cohomology Modules to Top Generalized Local Cohomology Modules ⋮ On the asymptotic behaviour of associated primes of generalized local cohomology modules ⋮ Some finiteness results for local cohomology modules with respect to a pair of ideals ⋮ Asymptotic Stability of Certain Sets of Associated Prime Ideals of Local Cohomology Modules ⋮ Cohen–Macaulay Modules in Dimension >s and Results on Local Cohomology ⋮ On the Finiteness Properties of U_iAss_RExt_Rⁿ(R/α^I, M) ⋮ Filter Regular Sequences and Generalized Local Cohomology Modules ⋮ Unnamed Item ⋮ A Characterization of Gorenstein Rings and Grothendieck's Conjecture ⋮ A generalization of the cofiniteness problem in local cohomology modules ⋮ Some splitting theorems for local cohomology modules with respect to a pair of ideals ⋮ On the Associated Primes of Generalized Local Cohomology Modules ⋮ Some equivalent conditions for Huneke’s two conjectures ⋮ A Remark on the Finiteness Dimension ⋮ On the finiteness properties of extension and torsion functors of local cohomology modules ⋮ Filter regular sequences and generalized local cohomology modules ⋮ FILTER REGULAR SEQUENCES AND LOCAL COHOMOLOGY MODULES

Cites Work

• Der Endlichkeitssatz in der lokalen Kohomologie
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Absolutely superficial sequences
• Uniform annihilation of local cohomology and of Koszul homology
• Unnamed Item
• Unnamed Item

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