Research ArticleNo Access

Abelian model structures on categories of quiver representations

Departamento de Matemáticas, Universidad de Murcia, Campus de Espinardo, Murcia 30100, Spain

https://doi.org/10.1142/S0219498820501959Cited by:3 (Source: Crossref)

Abstract

Let $ℳ$ 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 $ℳ$ . This is based on recent work of Holm and Jørgensen 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.

Communicated by D. Herbera

Keywords:

AMSC: 18E10, 18G25, 18G55

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