On the set of associated primes of a local cohomology module

DOI10.1006/jabr.2000.8580zbMath1027.13009arXivmath/0607075OpenAlexW2051204175MaRDI QIDQ5936957

Michael Hellus

Publication date: 13 January 2004

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

Full work available at URL: https://arxiv.org/abs/math/0607075

zbMATH Keywords

finiteness propertieslocal Cohen-Macaulay ringlocal cohomology modulesset of associated primes

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15)

Related Items (29)

Matlis Duals of Top Local Cohomology Modules and the Arithmetic Rank of an Ideal ⋮ A FINITENESS RESULT FOR LOCAL COHOMOLOGY MODULES ⋮ A Note on the Set of Associated Primes of Local Cohomology Modules ⋮ On the support of local cohomology ⋮ Attached and associated primes of local cohomology modules via linkage ⋮ On the support of local cohomology modules and filter regular sequences ⋮ On the cofiniteness of local cohomology modules ⋮ A Note on Local Cohomology ⋮ Generalized Regular Sequence and Finiteness of Local Cohomology Modules ⋮ Socle finiteness of local cohomology modules and Gorenstein ideals ⋮ A SURJECTIVE HOMOMORPHISM OF LOCAL COHOMOLOGY MODULES ⋮ The local cohomology of a parameter ideal with respect to an arbitrary ideal ⋮ RESULTS ON LOCAL COHOMOLOGY OF WEAKLY LASKERIAN MODULES ⋮ FINITENESS PROPERTIES OF LOCAL COHOMOLOGY MODULES AND GENERALIZED REGULAR SEQUENCES ⋮ A cohomological stability result for projective schemes over surfaces ⋮ A note on the associated primes of local cohomology modules for regular local rings ⋮ Finiteness properties and numerical behavior of local cohomology ⋮ Matlis duals of top Local cohomology modules ⋮ Finiteness properties of generalized local cohomology modules for minimax modules ⋮ Finiteness properties of local cohomology modules for $\mathfrak a$-minimax modules ⋮ Local Cohomology at Monomial Ideals inR-Sequences ⋮ GeneralizedF-Modules and the Associated Primes of Local Cohomology Modules ⋮ Cohen–Macaulay Modules in Dimension >s and Results on Local Cohomology ⋮ On the Finiteness Results of the Generalized Local Cohomology Modules ⋮ On the Associated Primes of Matlis Duals of Top Local Cohomology Modules ⋮ Some equivalent conditions for Huneke’s two conjectures ⋮ Cohomological dimension with respect to the linked ideals ⋮ ON THE BEHAVIOR OF APPLYING DERIVED FUNCTORS OF TORSION FUNCTORS ON LOCAL COHOMOLOGY MODULES ⋮ Cohomological patterns of coherent sheaves over projective schemes

Cites Work

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• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Affine duality and cofiniteness
• Bass Numbers of Local Cohomology Modules
• Cofiniteness and vanishing of local cohomology modules
• F-modules: applications to local cohomology and D-modules in characteristic p>0.
• A finiteness result for associated primes of local cohomology modules

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