1 citations · 1 across the 7 of their papers we have counts for
7 papers
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…
Hereditary -exangulated categories
Jian He, Jing He, Panyue Zhou
Herschend-Liu-Nakaoka introduced the concept of -exangulated categories as higher-dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of -ex…
Dimensions and cotorsion pairs in recollements of extriangulated categories
Xin Ma, Panyue Zhou
Let be a recollement of extriangulated categories. In this paper, we provide bounds on the coresolution dimensions of the subcategories invol…
Idempotent completion of certain -exangulated categories
Jian He, Jing He, Panyue Zhou
It was shown recently that an -extension closed subcategory of a Krull-Schmidt -angulated category has a natural structure of an -exangulated category. In…
Auslander-Reiten-Serre duality for n-exangulated categories
Jian He, Jing He, Panyue Zhou
Let be an Ext-finite, Krull-Schmidt and -linear -exangulated category with a commutative artinian ring. In this note, we prove tha…
Triangulated quotient categories revisited
Panyue Zhou, Bin Zhu
Extriangulated categories were introduced by Nakaoka and Palu by extracting the similarities between exact categories and triangulated categories. A notion of mutation of subcatego…