Characterizing local rings via homological dimensions and regular sequences

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dc.creatorSalarian, Shokrollah
dc.creatorSather-Wagstaff, Sean
dc.creatorYassemi, Siamak
dc.date2004-01-05
dc.date2005-08-02
dc.date.accessioned2026-07-07T05:04:22Z
dc.date.available2026-07-07T05:04:22Z
dc.descriptionLet (R,m) be a Noetherian local ring of depth d and C a semidualizing R-complex. Let M be a finite R-module and t an integer between 0 and d. If G_C-dimension of M/IM is finite for all ideals I generated by an R-regular sequence of length at most d-t then either G_C-dimension of M is at most t or C is a dualizing complex. Analogous results for other homological dimensions are also given.
dc.descriptionFinal version, to appear in J. Pure Appl. Algebra. 9 pages. Uses XY-pic
dc.identifierhttps://arxiv.org/abs/math/0401031
dc.identifierhttp://arxiv.org/abs/math/0401031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69776
dc.subjectCommutative Algebra
dc.subject13H05
dc.titleCharacterizing local rings via homological dimensions and regular sequences
dc.typetext

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