6 papers
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…
Admissible weak factorization systems on extriangulated categories
Yajun Ma, Hanyang You, Dongdong Zhang +1
Extriangulated categories, introduced by Nakaoka and Palu, serve as a simultaneous generalization of exact and triangulated categories. In this paper, we first introduce the concep…
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…