Publication:
Quillen equivalences for stable categories

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Dalezios-Estrada-Holm-J.Alg.pdf(267.41 KB)
Date
2018-05-01
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Authors
Dalezios, Georgios ; Estrada, Sergio ; Holm, Henrik
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Publisher
ScienceDirect
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Matemáticas
DOI
https://doi.org/10.1016/j.jalgebra.2017.12.033
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info:eu-repo/semantics/article
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.2017.12.033
Abstract
For 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.
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Gorenstein projective , Gorenstein injective , Abelian model structure
Citation
Journal of Algebra, Volume 501, 1 May 2018, Pages 130-149
URI
http://hdl.handle.net/10201/137423
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