Quotients of one-sided trianglated categories by rigid subcategories as module categories

2013/02/08 by Zengqiang Lin, Yang Zhang, Lin, Zengqiang +1
Mathematics · #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) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.1302.2062

16 pages

arxiv created 2013/02/08 · openalex publication_date 2013/02/08 · arxiv updated 2013/02/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

We prove that some subquotient categories of one-sided triangulated categories are abelian. This unifies a result by Iyama-Yoshino in the case of triangulated categories and a result by Demonet-Liu in the case of exact categories.

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