Mutation pairs and triangulated quotients

Zengqiang Lin and Minxiong Wang

We introduce the notion of mutation pairs in pseudo-triangulated categories. Given such a mutation pair, we prove that the corresponding quotient category carries a natural triangulated structure under certain conditions. This result unifies many previous constructions of quotient triangulated categories.

Keywords: Quotient category, mutation pair, pseudo-triangulated category, triangulated category

2010 MSC: 18E10, 18E30

Theory and Applications of Categories, Vol. 30, 2015, No. 52, pp 1823-1840.

Published 2015-12-03.

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