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• W2085382051 startingPage "459" @default.
• W2085382051 abstract "We prove that the category of modules cofinite with respect to an ideal of dimension one in a noetherian ring is a full abelian subcategory of the category of modules. The proof is based on a criterion for cofiniteness with respect to an ideal of dimension one. Namely for such ideals it suffices that the two first Ext-modules in the definition for cofiniteness are finitely generated. This criterion is also used to prove very simply that all local cohomology modules of a finitely generated module with respect to an ideal of dimension one in an arbitrary noetherian ring are cofinite with respect to the ideal." @default.
• W2085382051 created "2016-06-24" @default.
• W2085382051 creator A5085526922 @default.
• W2085382051 date "2012-12-01" @default.
• W2085382051 modified "2023-10-14" @default.
• W2085382051 title "Cofiniteness with respect to ideals of dimension one" @default.
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• W2085382051 doi "https://doi.org/10.1016/j.jalgebra.2012.10.005" @default.
• W2085382051 hasPublicationYear "2012" @default.
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