The realization of Verdier quotients as triangulated subfactors

2016/12/26 by Zhiwei Li, Li, Zhi-Wei
Mathematics · #18E10 #18E30 #18E35 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1612.08340

openalex publication_date 2016/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Relative singularity categories, Gorenstein objects and silting theory
• The triangulation of the subfactor categories of additive categories with suspensions

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