Mutation pairs and triangulated quotients

Abstract

We define mutation pair in a pseudo-triangulated category. We prove that under certain conditions, for a mutation pair in a pseudo-triangulated category, the corresponding quotient category carries a natural triangulated structure. This result unifies many previous constructions of quotient triangulated categories.

arXiv comment16 pages

References in corpus (1)

• Frobenius condition on a pretriangulated category, and triangulation on the associated stable category