2 citations · 9 across the 23 of their papers we have counts for
7 papers · 1 filter
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…
-exact categories arising from -exangulated categories
Jian He, Panyue Zhou
Let be a Krull-Schmidt -exangulated category and be an -extension closed subcategory of . Then inherits the -exangul…
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…
From right (n+2)-angulated categories to n-exangulated categories
Jian He, Panyue Zhou
The notion of right semi-equivalence in a right -angulated category is defined in this article. Let be an -exangulated category and is a strongl…