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arxiv: 1810.12684 · v1 · pith:6SAPQ2BFnew · submitted 2018-10-30 · 🧮 math.RA · math.CT

Abelian model structures on categories of quiver representations

classification 🧮 math.RA math.CT
keywords representationsabeliancategoriesmodelquiverdingmathcalquivers
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Let $\mathcal{M}$ be an abelian model category (in the sense of Hovey). For a large class of quivers, we describe associated abelian model structures on categories of quiver representations with values in $\mathcal{M}$. This is based on recent work of Holm and J{\o}rgensen on cotorsion pairs in categories of quiver representations. An application on Ding projective and Ding injective representations of quivers over Ding-Chen rings is given.

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