The triangulation of the subfactor categories of additive categories with suspensions
Representation Theory
2017-02-23 v6 Category Theory
Abstract
We provide a framework to triangulate subfactor categories of additive categories with additive endofunctors. It is proved that such a framework is sufficiently flexible to cover many instances in algebra and geometry where abelian, exact and triangulated subfactor categories are constructed. As an application, we show that Iyama-Yoshino triangulated subfactor categories can be modeled.
Keywords
Cite
@article{arxiv.1510.02258,
title = {The triangulation of the subfactor categories of additive categories with suspensions},
author = {Zhi-Wei Li},
journal= {arXiv preprint arXiv:1510.02258},
year = {2017}
}
Comments
we rewrite the section 6 and introduce the notions of Frobenius partial one-sided triangulated categories