13 citations · 72 across the 56 of their papers we have counts for
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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…
s-Recollements and its localization
Yonggang Hu, Panyue Zhou
We introduce a new concept of s-recollements of extriangulated categories, which generalizes recollements of abelian categories, recollements of triangulated categories, as well as…
Torsion pairs and recollements of extriangulated categories
Jian He, Yonggang Hu, Panyue Zhou
In this article, we prove that if is a recollement of extriangulated categories, then torsion pairs in and can induc…
Abelian hearts of twin cotorsion pairs on extriangulated categories
Qiong Huang, Panyue Zhou
It was shown recently that the heart of a twin cotorsion pair on an extriangulated category is semi-abelian. In this article, we consider a special kind of hearts of twin cotorsion…
Cosilting modules arising from cotilting objects
Yonggang Hu, Panyue Zhou
Let be a ring. In this paper, we study the characterization of cosilting modules and establish a relation between cosilting modules and cotilting objects in a Grothendieck cate…