4 papers
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^…
The Grothendieck groups of n-cluster categories of type A_{\infty}
Huimin Chang
In this article, we investigate the Grothendieck groups $K_0(\C_{A_{\infty}}^n)$ of -cluster categories $\C_{A_{\infty}}^n$ of type introduced by T.~Holm and P.~Jø…
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…
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…