Abelian categories arising from a maximal $n$-orthogonal subcategory.

Authors: Hiroyuki Nakaoka
Subjects: Category Theory
link: http://arxiv.org/abs/0909.0395
Abstract

As Koenig and Zhu showed, quotient of a triangulated category by a maximal
1-orthogonal subcategory becomes an abelian category. In this paper, we
generalize this result to a maximal $n$-orthogonal subcategory for an arbitrary
positive integer $n$.