The realization of Verdier quotients as triangulated subfactors

Abstract

We give a method to realize Verdier quotients as triangulated subfactors of an arbitrary triangulated category. We show that Iyama-Yoshino triangulated subfactors are Verdier quotients under suitable conditions.

We corrected some typos, enhanced the main result and added Remark 4.8

References in corpus (4)

• A simultaneous generalization of mutation and recollement on a triangulated category
• A homotopy theory of additive categories with suspensions
• The triangulation of the subfactor categories of additive categories with suspensions
• Relative singularity categories, Gorenstein objects and silting theory

Cited by in corpus (1)

• A homotopy theory of Nakaoka twin cotorsion pairs