Relative global dimensions and stable homotopy categories
Rings and Algebras
2020-06-25 v1 Representation Theory
Abstract
In this paper we study the finiteness of global Gorenstein AC-homological dimensions for rings, and answer the questions posed by Becerril, Mendoza, P\'{e}rez and Santiago. As an application, we show that any left (or right) coherent and left Gorenstein ring has a projective and injective stable homotopy category, which improves the known result by Beligiannis.
Cite
@article{arxiv.2006.13558,
title = {Relative global dimensions and stable homotopy categories},
author = {Li Liang and Junpeng Wang},
journal= {arXiv preprint arXiv:2006.13558},
year = {2020}
}
Comments
to appear in Comptes Rendus Mathematique