Zengqiang Lin (Huaqiao University), A general construction of n-angulated categories by periodic injective resolutions.

Abstract:

Let C be an additive category equipped with an automorphism Σ. Assume that modC is Frobenius, we show how to obtain n-angulations of (C, Σ) using some particular periodic injective resolutions. We give necessary and sufficient conditions on (C, Σ) admitting an n-angulation. Then we apply these ideas to explain the standard construction of n-angulated categories and the n-angulated categories arising from some local rings. Moreover, we obtain a large class of new examples of n-angulated categories from quasi-periodic selfinjective algebras.