A generalization of a theorem of Foxby

Details A generalization of a theorem of Foxby A generalization of a theorem of Foxby

2009-02-18

arxiv.org/abs/0902.3037v2

Mathematics

Commutative Algebra

4 pages, the proof of Lemma 2.1 is shortened, to appear in Arch. Math. (Basel)

Scientific paper

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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