Article ID Journal Published Year Pages File Type
5772883 Journal of Pure and Applied Algebra 2017 7 Pages PDF
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
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