4 papers · 1 filter
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…
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…
Two new classes of n-exangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
Herschend-Liu-Nakaoka introduced the notion of -exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but al…
Proper classes and Gorensteinness in extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
Extriangulated categories were introduced by Nakaoka and Palu as a simultaneous generalization of exact categories and triangulated categories. A notion of proper class in an extri…