3 papers
math.RT2026
Quasi-abelian quotients in extriangulated categories
Yu Liu, Yu-Zhe Liu, Panyue Zhou
Let be an extriangulated category. Motivated by the theory of hereditary algebras, we introduce the notion of a hereditary-type subcategor…
math.RT2025
Mutation of -cotorsion pairs in extriangulated categories
Huimin Chang, Yu Liu, Panyue Zhou
In this article, we introduce the notion of -cotorsion pairs in extriangulated categories, which extends both the cotorsion pairs established by Nakaoka and Palu and the -cot…
math.RT2024
Relative cluster tilting theory and -tilting theory
Yu Liu, Jixing Pan, Panyue Zhou
Let be a Krull-Schmidt triangulated category with shift functor and be a rigid subcategory of . We are concerned with the mutation of tw…