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arxiv: 1412.4085 · v2 · pith:PEYJ7RZXnew · submitted 2014-12-12 · 🧮 math.RA

The flat stable module category of a coherent ring

classification 🧮 math.RA
keywords flatgorensteincategorycoherentcotorsionmodelmodulemodules
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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.

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