An Auslander-type result for Gorenstein-projective modules

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dc.creatorChen, Xiao-Wu
dc.date2007-09-21
dc.date2008-04-07
dc.date.accessioned2026-07-07T10:03:33Z
dc.date.available2026-07-07T10:03:33Z
dc.descriptionAn artin algebra $A$ is said to be CM-finite if there are only finitely many, up to isomorphisms, indecomposable finitely generated Gorenstein-projective $A$-modules. We prove that for a Gorenstein artin algebra, it is CM-finite if and only if every its Gorenstein-projective module is a direct sum of finitely generated Gorenstein-projective modules. This is an analogue of Auslander's theorem on algebras of finite representation type (\cite{A,A1}).
dc.descriptionComments are welcome. Adv. Math., accepted
dc.identifierhttps://arxiv.org/abs/0709.3452
dc.identifierhttp://arxiv.org/abs/0709.3452
dc.identifierAdvances in Mathematics, 218 (2008), 2043-2050.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169332
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.titleAn Auslander-type result for Gorenstein-projective modules
dc.typetext

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