1 citations · 3 across the 16 of their papers we have counts for
16 papers
A negative answer to a question on tilting objects and two-term complexes
Jing He, Panyue Zhou
Let be a silting object in an idempotent complete algebraic triangulated category . Put , and let $\mathbb{P}_M\colon {\rm pr}(M)\to K^…
A right pretriangulated category which is not right triangulated
Jing He, Panyue Zhou
Chen, Liu, Lu, and Zhang recently constructed a pretriangulated category with invertible suspension in which Verdier's octahedral axiom fails. We introduce a general enlargement co…
A pre--angulated category which is not -angulated
Jian He, Jing He, Panyue Zhou
We construct an explicit pre--angulated category which is not -angulated, thereby giving a genuinely higher counterexample to the implication from pre--angulated to $(…
-cotorsion pairs and recollements of extriangulated categories
Jian He, Jing He
In this article, we prove that if is a recollement of extriangulated categories, then -cotorsion pairs in and can…
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…
Semi-abelian categories arising from pseudo cluster tilting subcategories
Jian He, Jing He
The notion of a pseudo cluster tilting subcategory in an extriangulated category is defined in this article. We prove that the quotient category $\mathcal…
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…
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…
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…
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…