5 papers · 1 filter
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…
Chains of model structures arising from cotorsion pairs on extriangulated categories
Dandan Sun, Xiaoyan Yang, Dongdong Zhang +2
The main aim of this paper is to study chains of model structures arising from cotorsion pairs in extriangulated categories. Starting with a hereditary Hovey triple, we construct f…
-cotorsion pairs in a recollement of extriangulated categories
Xin Ma, Panyue Zhou
Let be a recollement of extriangulated categories.In this paper, we first show how to obtain an -cotorsion pair in from g…
Model structure arising from one hereditary complete cotorsion pair on extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Pu Zhang +1
Hovey's correspondence between model structures and cotorsion pairs in the setting of abelian categories, has been generalized by Nakaoka-Palu, using two cotorsion pairs, to the se…
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…