Derived Equivalences in n-Angulated Categories

Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perfor...
Ausführliche Beschreibung

Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. Ausführliche Beschreibung