13 citations · 72 across the 56 of their papers we have counts for
62 papers
Phantom subcategories on blow-ups of Hirzebruch surfaces
Zeyuan He, Yu-Zhe Liu, Mingzhi Sheng +1
We prove that the blow-up of the Hirzebruch surface at general points admits a phantom subcategory for every .
Igusa--Todorov Algebras and the Auslander--Reiten Conjecture
Xiaojin Zhang, Panyue Zhou
We prove that every Igusa--Todorov Artin algebra satisfies the Auslander--Reiten conjecture. More precisely, let be an -Igusa--Todorov witness, and let be the number of…
Self-Orthogonal -Tilting Modules and Tilting Modules III: Finitistic Dimension
Xiaojin Zhang, Panyue Zhou
Let be an Artin algebra and let be a -tilting right -module. Put . We prove that finite little finitistic dimension of , together with…
Auslander-Reiten (n+2)-angles and local finiteness
Jian He, Yu-Zhe Liu, Panyue Zhou
Let be an -angulated category. Zhou proved that, when is odd, if the Auslander-Reiten -angles generate the relations for the Grothendieck group of $\…
Classifying Nichols algebras over classical Weyl groups
Weicai Wu, Panyue Zhou
In this article, we show that conjugacy classes of classical Weyl groups and are of . Consequently, we obtain that Nichols algebras of irredu…
Relative cluster tilting theory and -tilting theory
Yu Liu, Jixing Pan, Panyue Zhou
Let be a Krull-Schmidt triangulated category with shift functor and be a rigid subcategory of . We are concerned with the mutation of tw…
Hereditary -exangulated categories
Jian He, Jing He, Panyue Zhou
Herschend-Liu-Nakaoka introduced the concept of -exangulated categories as higher-dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of -ex…
Largest exact structures and almost split sequences on hearts of twin cotorsion pairs
Yu Liu, Wuzhong Yang, Panyue Zhou
Hearts of cotorsion pairs on extriangulated categories are abelian categories. On the other hand, hearts of twin cotorsion pairs are not always abelian. They were shown to be semi-…
Hearts of twin cotorsion pairs revisited: integral and abelian hearts
Yu Liu, Panyue Zhou
Hearts of twin cotorsion pairs are shown to be quasi-abelian. But they are not always integral. In this article, we provide a sufficient and necessary condition for the hearts of t…
Extriangulated ideal quotients and Gabriel-Zisman localizations
Yu Liu, Panyue Zhou
Let be an extriangulated category and be an extension closed subcategory of . In this article, we prove that the Gab…
Pre--angulated categories
Jing He, Panyue Zhou, Xingjia Zhou
In this article, we introduce the notion of pre--angulated categories as higher dimensional analogues of pre-triangulated categories defined by Beligiannis-Reiten. We first…
Idempotent completion of certain -exangulated categories
Jian He, Jing He, Panyue Zhou
It was shown recently that an -extension closed subcategory of a Krull-Schmidt -angulated category has a natural structure of an -exangulated category. In…
Homotopy cartesian squares in extriangulated categories
Jing He, Chenbei Xie, Panyue Zhou
Let be an extriangulated category. Given a composition of two commutative squares in , if two commutative squares are homotopy…
Two results of -exangulated categories
Jian He, Jing He, Panyue Zhou
-exangulated categories were introduced by Herschend-Liu-Nakaoka which are a simultaneous generalization of -exact categories and -angulated categories. This paper con…
Localization of n-exangulated categories
Jian He, Jing He, Panyue Zhou
Nakaoka-Ogawa-Sakai considered the localization of an extriangulated category. This construction unified the Serre quotient of abelian categories and the Verdier quotient of triang…
Auslander-Reiten-Serre duality for n-exangulated categories
Jian He, Jing He, Panyue Zhou
Let be an Ext-finite, Krull-Schmidt and -linear -exangulated category with a commutative artinian ring. In this note, we prove tha…
Higher Auslander-Reiten sequences via morphisms determined by objects
Jian He, Jing He, Panyue Zhou
Let be an -finite, Krull-Schmidt and -linear -exangulated category with a commutative artinian ring. In this note, we d…
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…
N-extension closed subcategories of (n+2)-angulated categories
Panyue Zhou
Let be a Krull-Schmidt -angulated category and be an -extension closed subcategory of . Then has the structure of an $n…
Balanced pairs and recollements in extriangulated categories with negative first extensions
Jian He, Panyue Zhou
A notion of balanced pairs in an extriangulated category with a negative first extension is defined in this article. We prove that there exists a bijective correspondence between b…
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…
One-sided n-suspended categories
Jing He, Yonggang Hu, Panyue Zhou
Let be an integer greater or equal than . We give a simultaneous generalization of -exact categories and -angulated categories, and we call it one-sided -suspen…
Gluing n-tilting and n-cotilting subcategories
Yu Liu, Panyue Zhou
Recently, Wang, Wei and Zhang define the recollement of extriangulated categories, which is a generalization of both recollement of abelian categories and recollement of triangulat…
Silting reduction in extriangulated categories
Yu Liu, Panyue Zhou, Yu Zhou +1
Presilting and silting subcategories in extriangulated categories were introduced by Adachi and Tsukamoto recently. In this paper, we prove that the Gabriel-Zisman localization $\m…