Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772883 | Journal of Pure and Applied Algebra | 2017 | 7 Pages |
Abstract
Let R by a right coherent ring and R-Mod denote the category of left R-modules. We show that there is an abelian model structure on R-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
James Gillespie,