$n$-angulated categories from self-injective algebras

Abstract

Let $\mathcal{C}$ be a $k$-linear category with split idempotents, and $\Sigma :\mathcal{C}\to \mathcal{C}$ an automorphism. We show that there is an $n$-angulated structure on $(\mathcal{C},\Sigma )$ under certain conditions. As an application, we obtain a class of examples of $n$-angulated categories from self-injective algebras.

11 pages

References in corpus (3)

• $n$-angulated categories
• The axioms for n-angulated categories
• Right $n$-angulated categories arising from covariantly finite subcategories