English

Abelian model structures on categories of quiver representations

Rings and Algebras 2018-10-31 v1 Category Theory

Abstract

Let M\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 M\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.

Keywords

Cite

@article{arxiv.1810.12684,
  title  = {Abelian model structures on categories of quiver representations},
  author = {Georgios Dalezios},
  journal= {arXiv preprint arXiv:1810.12684},
  year   = {2018}
}

Comments

12 pages. Comments are welcome

R2 v1 2026-06-23T04:57:32.226Z