5 citations · 16 across the 12 of their papers we have counts for
13 papers
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…
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…
On the existence of Auslander-Reiten -exangles in -exangulated categories
Jian He, Jiangsheng Hu, Dongdong Zhang +1
Let be an -exangulated category. In this note, we show that if is locally finite, then has Auslander-Reiten -exangles. This unifies…
Balanced pairs on triangulated categories
Xianhui Fu, Jiangsheng Hu, Dongdong Zhang +1
Let be a triangulated category. We first introduce the notion of balanced pairs in , and then establish the bijective correspondence between balanced pai…
Higher Auslander's defect and classifying substructures of n-exangulated categories
Jiangsheng Hu, Yajun Ma, Dongdong Zhang +1
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…
Frobenius functors and Gorenstein projective precovers
Jiangsheng Hu, Huanhuan Li, Jiafeng Lu +1
We establish relations between Gorenstein projective precovers linked by Frobenius functors. This is motivated by an open problem that how to find general classes of rings for whic…
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…
Avramov-Martsinkovsky type exact sequences for extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Tiwei Zhao +1
Let be an extriangulated category with a proper class of -triangles. In this paper, we first introduce the -Gorenstein co…
Balance of complete cohomology in extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Tiwei Zhao +1
Let be an extriangulated category with a proper class of -triangles. In this paper, we study the balance of complete cohomol…
Complete cohomology for extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Tiwei Zhao +1
Let be an extriangulated category with a proper class of -triangles. In this paper, we study complete cohomology of objects…
Gorenstein homological dimensions for extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
Let be an extriangulated category with a proper class of -triangles. The authors introduced and studied -pro…
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…