COFINITE MODULES

DOI10.1081/AGB-100002392zbMath1023.13013OpenAlexW4240328351MaRDI QIDQ2747146

Siamak Yassemi

Publication date: 29 November 2001

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

Full work available at URL: https://doi.org/10.1081/agb-100002392

zbMATH Keywords

cofinite moduleArtinian submodule

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Chain conditions, finiteness conditions in commutative ring theory (13E99)

Related Items (11)

ON THE FINITENESS PROPERTIES OF THE GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ Some results on the cofiniteness of local cohomology modules ⋮ COFINITENESS AND FINITENESS OF GENERALIZED LOCAL COHOMOLOGY MODULES ⋮ On the stable under specialization sets and cofiniteness of local cohomology ⋮ On a characterization of cofinite complexes. Addendum to ``On a category of cofinite modules which is abelian ⋮ On a category of cofinite modules which is abelian ⋮ On the cofiniteness of generalized local cohomology modules with respect to the class of modules in dimension less than a fixed integer ⋮ Cofiniteness properties of generalized local cohomology modules ⋮ Finiteness of extension functors of generalized local cohomology modules ⋮ On the Finiteness Property of Generalized Local Cohomology Modules ⋮ On Vanishing and Cofiniteness of Generalized Local Cohomology Modules

Cites Work

• Finiteness properties of local cohomology modules (an application of \(D\)- modules to commutative algebra)
• Generalized section functors
• Cofinite modules and local cohomology
• Affine duality and cofiniteness
• On the ubiquity of Gorenstein rings
• Bass Numbers of Local Cohomology Modules
• On the finiteness of Bass numbers of local cohomology modules
• Cofiniteness and vanishing of local cohomology modules
• Properties of cofinite modules and applications to local cohomology
• Cofiniteness of Local Cohomology Modules for Principal Ideals
• On the cofiniteness of local cohomology modules
• Cofiniteness of local cohomology modules for ideals of dimension one
• The local cohomology modules of Matlis reflexive modules are almost cofinite

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