Tuesday, December 6, 14:00, 7.527
Zengqiang Lin (Huaqiao University),
A general construction of n-angulated categories by periodic
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.