Syzygy modules with semidualizing or G-projective summands

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dc.creatorTakahashi, Ryo
dc.date2005-01-21
dc.date.accessioned2026-07-07T05:16:14Z
dc.date.available2026-07-07T05:16:14Z
dc.descriptionLet R be a commutative Noetherian local ring with residue class field k. In this paper, we mainly investigate direct summands of the syzygy modules of k. We prove that R is regular if and only if some syzygy module of k has a semidualizing summand. After that, we consider whether R is Gorenstein if and only if some syzygy module of k has a G-projective summand.
dc.description13 pages, to appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0501342
dc.identifierhttp://arxiv.org/abs/math/0501342
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73913
dc.subjectCommutative Algebra
dc.subject13C13 (Primary) 13D02, 13D05, 13H05, 13H10 (Secondary)
dc.titleSyzygy modules with semidualizing or G-projective summands
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