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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 $(…
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 $\…
Higher Auslander-Reiten sequences revisited
Jian He, Hangyu Yin, Panyue Zhou
Let be an -exangulated category with enough projectives and enough injectives, and be a cluster-tilting subcategory of $\ma…
-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…