Browsing by Subject "Gorenstein projective"

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    Quillen equivalences for stable categories
    (ScienceDirect, 2018-05-01) Dalezios, Georgios; Estrada, Sergio; Holm, Henrik; Matemáticas
    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.