Simplicial structures in higher Auslander–Reiten theory
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.106762
Abstract: Abstract We develop a novel combinatorial perspective on the higher Auslander algebras of type A , a family of algebras arising in the context of Iyama's higher Auslander–Reiten theory. This approach reveals interesting simplicial structures… read more here.
Keywords: reiten theory; simplicial structures; auslander reiten; auslander ... See more keywords
Auslander-Reiten theory in quasi-abelian and Krull-Schmidt categories
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2019.04.017
Abstract: Abstract We generalise some of the theory developed for abelian categories in papers of Auslander and Reiten to semi-abelian and quasi-abelian categories. In addition, we generalise some Auslander-Reiten theory results of S. Liu for Krull-Schmidt… read more here.
Keywords: reiten theory; auslander reiten; krull schmidt; schmidt categories ... See more keywords