n-angulated quotient categories induced by mutation pairs
Category Theory
2014-09-10 v1 Representation Theory
Abstract
We define mutation pair in an n-angulated category and prove that given such a mutation pair, the corresponding quotient category carries a natural n-angulated structure. This result generalizes a theorem of Iyama-Yoshino in classical triangulated category. As an application, we obtain that the quotient category of a Frobenius n-angulated category is also an n-angulated category.
Keywords
Cite
@article{arxiv.1409.2716,
title = {n-angulated quotient categories induced by mutation pairs},
author = {Zengqiang Lin},
journal= {arXiv preprint arXiv:1409.2716},
year = {2014}
}
Comments
11 pages