5 papers
A characterization of triangulated structures induced by premutation triples
Panyue Zhou
Let be a premutation triple in an extriangulated category. Set . Iitsuka…
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…
Grothendieck groups of repetitive cluster categories
Huimin Chang, Dave Murphy, Panyue Zhou
In order to study cluster-tilted algebras and their intermediate coverings, Zhu introduced the notion of repetitive cluster categories, defined as the orbit categories $\mathcal D^…
Cotorsion pairs in -angulated categories
Huimin Chang, Panyue Zhou
Let be a -angulated category. In this paper, we define the notions of cotorsion pairs and weak cotorsion pairs in , which are generalizations of the…
Mutation of -cotorsion pairs in triangulated categories
Huimin Chang, Panyue Zhou
In this article, we define the notion of -cotorsion pairs in triangulated categories, which is a generalization of the classical cotorsion pairs. We prove that any mutation of a…