Quillen equivalence of singular model categories
K-Theory and Homology
2020-09-10 v2
Abstract
Let be a left-Gorenstein ring. We show that there is a Quillen equivalence between singular contraderived model category and singular coderived model category. Consequently, an equivalence between the homotopy category of exact complexes of projective modules and the homotopy category of exact complexes of injective modules is given.
Keywords
Cite
@article{arxiv.1901.02137,
title = {Quillen equivalence of singular model categories},
author = {Wei Ren},
journal= {arXiv preprint arXiv:1901.02137},
year = {2020}
}
Comments
9 pages. Correcting Lemma 2.5; Introduction is modified. All suggestions and comments are welcomed