13 citations · 72 across the 56 of their papers we have counts for
12 papers · 1 filter
On the existence of Auslander-Reiten (d+2)-angles in (d+2)-angulated categories
Panyue Zhou
Let be a -angulated category. In this note, we show that if is a locally finite, then has Auslander-Reiten -angles. This extends a result o…
Recollements arising from cotorsion pairs on extriangulated categories
Yonggang Hu, Panyue Zhou
This paper is devoted to constructing some recollements of additive categories associated to concentric twin cotorsion pairs on an extriangulated category. As an application, this…
A Hovey triple arising from two cotorsion pairs
Panyue Zhou
Assume that is an extriangulated category satisfying Condition (WIC). Let and $(\widetilde{\cal Q}, \cal R)…
Modules of infinite projective dimension
Panyue Zhou, Xingjia Zhou
We characterize the modules of infinite projective dimension over the endomorphism algebras of Opperman-Thomas cluster tilting objects in -angulated categories $(\mathca…
Filtered objects in extriangulated categories
Panyue Zhou
Let be an artin ring and be a family of objects in an artin extriangulated -category such that $\mathbb{E}(Θ…
Higher-dimensional Auslander-Reiten theory on -angulated categories
Panyue Zhou
Let be a -angulated category with -suspension functor . Our main results show that every Serre functor on is a -angulated functor.…
Frobenius -exangulated categories
Yu Liu, Panyue Zhou
Herschend-Liu-Nakaoka introduced the notion of -exangulated categories as higher dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of -exa…
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…
On the relation between n-cotorsion pairs and (n+1)-cluster tilting subcategories
Panyue Zhou
A notion of -cotorsion pairs in an extriangulated category with enough projectives and enough injectives is defined in this article. We show that there exists a one-to-one corre…
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…
Gorenstein dimension of abelian categories
Yu Liu, Panyue Zhou
Let C be triangulated category and X a cluster tilting subcategory of C. Koenig and Zhu showed that the quotient category C/X is Gorenstein of Gorenstein dimension at most one. The…
A note on abelian quotient categories
Panyue Zhou
Let C be a triangulated category with a Serre functor S and X a non-zero contravariantly finite rigid subcategory of C. Then X is cluster tilting if and only if the quotient catego…