Publication:
Quillen equivalences for stable categories

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dc.contributor.authorDalezios, Georgios
dc.contributor.authorEstrada, Sergio
dc.contributor.authorHolm, Henrik
dc.contributor.departmentMatemáticas
dc.date.accessioned2024-01-18T09:52:39Z
dc.date.available2024-01-18T09:52:39Z
dc.date.created2018-01-19
dc.date.issued2018-05-01
dc.description©2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the Accepted version of a Published Work that appeared in final form in Journal of Algebra. To access the final edited and published work see https://doi.org/10.1016/j.jalgebra.2017.12.033es
dc.description.abstractFor an abelian category A we investigate when the stable categories St(GProj(A))and St(GInj(A)) are triangulated equivalent. To this end, we realize these stable categories as homotopy categories of certain (non-trivial) model categories and give conditions on A that ensure the existence of a Quillen equivalence between the model categories in question. We also study when such a Quillen equivalence transfers from A to the category of chain complexes in A.es
dc.formatapplication/pdfes
dc.format.extent15es
dc.identifier.citationJournal of Algebra, Volume 501, 1 May 2018, Pages 130-149
dc.identifier.doihttps://doi.org/10.1016/j.jalgebra.2017.12.033
dc.identifier.issn1090-266X
dc.identifier.issn0021-8693
dc.identifier.urihttp://hdl.handle.net/10201/137423
dc.languageenges
dc.publisherScienceDirectes
dc.relationSergio Estrada is supported by the grant MTM2016-77445-P and FEDER funds and the grant 18394/JLI/13 by the Fundación Séneca-Agencia de Ciencia y Tecnología de la Región de Murcia in the framework of III PCTRM 2011–2014.es
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectGorenstein projectivees
dc.subjectGorenstein injectivees
dc.subjectAbelian model structurees
dc.subject.otherCDU::5 - Ciencias puras y naturaleses
dc.titleQuillen equivalences for stable categorieses
dc.typeinfo:eu-repo/semantics/articlees
dspace.entity.typePublicationes
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