The flat stable module category of a coherent ring
Rings and Algebras
2016-09-20 v2
Abstract
Let by a right coherent ring and -Mod denote the category of left -modules. We show that there is an abelian model structure on -Mod whose cofibrant objects are precisely the Gorenstein flat modules. Employing a new method for constructing model structures, the key step is to show that a module is flat and cotorsion if and only if it is Gorenstein flat and Gorenstein cotorsion.
Cite
@article{arxiv.1412.4085,
title = {The flat stable module category of a coherent ring},
author = {James Gillespie},
journal= {arXiv preprint arXiv:1412.4085},
year = {2016}
}