Quotients of one-sided trianglated categories by rigid subcategories as module categories
Zengqiang Lin, Yang Zhang
TL;DR
This paper demonstrates that certain subquotient categories derived from one-sided triangulated categories are abelian, unifying previous results in triangulated and exact categories.
Contribution
It generalizes and unifies existing results by showing that specific subquotients of one-sided triangulated categories are abelian.
Findings
Subquotients of one-sided triangulated categories are abelian.
Unification of Iyama-Yoshino and Demonet-Liu results.
Provides a broader framework for understanding category structures.
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology