A generalization of a theorem of Foxby
classification
🧮 math.AC
math.RA
keywords
foxbymoduletheoremadmittingcelebratedcommutativedimensionsfinite
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In this paper, it is proved that a commutative noetherian local ring admitting a finitely generated module of finite projective and injective dimensions with respect to a semidualizing module is Gorenstein. This result recovers a celebrated theorem of Foxby.
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