13 citations · 72 across the 56 of their papers we have counts for
14 papers · 1 filter
Hereditary cotorsion pairs on extriangulated subcategories
Yu Liu, Panyue Zhou
Let be an extriangulated category with enough projectives and enough injectives. We define a proper -term subcategory on , which is an extr…
A new characterization of n-exangulated categories with (n+2)-angulated structure
Jian He, 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…
-tilting theory in abelian categories
Yu Liu, Panyue Zhou
Let be a Hom-finite abelian category with enough projectives. In this note, we show that any covariantly finite -rigid subcategory is contained in a support -til…
Relative rigid subcategories and -tilting theory
Yu Liu, Panyue Zhou
Let be an extriangulated category with enough projectives and enough injectives , and let be a contravariantly finite rigid subca…
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…
Support -tilting pairs
Panyue Zhou, Bin Zhu
We introduce the higher version of the notion of Adachi-Iyama-Reiten's support -tilting pairs, which is a generalization of maximal -rigid pairs in the sense of Jacobsen-Jø…
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…
From -exangulated categories to -abelian categories
Yu Liu, 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…
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…
On the relation between relative rigid and support tilting
Yu Liu, Panyue Zhou
Let B be an extriangulated category with enough projectives and enough injectives. Let C be a fully rigid subcategory of B which admits a twin cotorsion pair ((C,K),(K,D)). The quo…
The long -exact sequence theorem in -abelian categories
Deren Luo, Panyue Zhou
In this note, we show that the long -exact sequence theorem holds in any -abelian category. As an application, the -abelian version of Wakamatsu's Lemma is given.
Proper resolutions and Gorensteinness in extriangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
Let be an extriangulated category with a proper class of -triangles, and an additive full subcategory of $\mat…
Grothendieck groups and Auslander-Reiten (d+2)-angles
Panyue Zhou
Xiao and Zhu has shown that if is a locally finite triangulated category, then the Auslander-Reiten triangles generate the relations for the Grothendieck group of …