5 papers
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…
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…
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…