ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY MODULES

DOI10.1081/AGB-120013186zbMath1097.13511OpenAlexW1996565503WikidataQ58841520 ScholiaQ58841520MaRDI QIDQ4532329

Kazem Khashyarmanesh, Shokrollah Salarian, Javad Asadollahi

Publication date: 2002

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

Full work available at URL: https://doi.org/10.1081/agb-120013186

Mathematics Subject Classification ID

Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (19)

Matlis Duality and Finiteness Properties of 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 ⋮ A Note on the Artinianness and Vanishing of Local Cohomology and Generalized Local Cohomology Modules ⋮ Cofiniteness with respect to a Serre subcategory ⋮ Associated Primes of Graded Components of Generalized Local Cohomology Modules ⋮ On the finiteness results of generalized local cohomology modules with respect to a pair of ideals ⋮ Cofiniteness properties of generalized local cohomology modules ⋮ Finiteness of extension functors of generalized local cohomology modules ⋮ A splitting theorem for local cohomology and its applications ⋮ On Vanishing of Generalized Local Cohomology Modules ⋮ On the Finiteness Property of Generalized Local Cohomology Modules ⋮ Some homological properties of generalized local cohomology modules ⋮ On the cofiniteness of generalized local cohomology modules ⋮ On the Finiteness Results of the Generalized Local Cohomology Modules ⋮ Filter Regular Sequences and Generalized Local Cohomology Modules ⋮ On Weakly Laskerian and Weakly Cofinite Modules ⋮ ON THE PROJECTIVE DIMENSION OF ARTINIAN MODULES

Cites Work

• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• \(p\)-torsion elements in local cohomology modules
• Affine duality and cofiniteness
• On the ubiquity of Gorenstein rings
• COFINITE MODULES
• Bass Numbers of Local Cohomology Modules
• On the finiteness of Bass numbers of local cohomology modules
• A common generalization of local cohomology theories
• Cofiniteness and vanishing of local cohomology modules
• Cofiniteness of Local Cohomology Modules for Principal Ideals
• A finiteness result for associated primes of local cohomology modules
• On the associated primes of local cohomology modules

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