A generalization of a theorem of Foxby

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dc.creatorAraya, Tokuji
dc.creatorTakahashi, Ryo
dc.date2009-02-18
dc.date2009-04-03
dc.date.accessioned2026-07-07T12:59:26Z
dc.date.available2026-07-07T12:59:26Z
dc.descriptionIn 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.
dc.description4 pages, the proof of Lemma 2.1 is shortened, to appear in Arch. Math. (Basel)
dc.identifierhttps://arxiv.org/abs/0902.3037
dc.identifierhttp://arxiv.org/abs/0902.3037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225574
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject13D05, 13C13, 13H10
dc.titleA generalization of a theorem of Foxby
dc.typetext

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