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14 papers · 1 filter
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…
Nichols algebras over classical Weyl groups (II)
Weicai Wu
It is shown that except in three cases conjugacy classes of classical Weyl groups and are of type . This proves that Nichols algebras of irreducible…
Two new classes of n-exangulated categories
Jiangsheng Hu, Dongdong Zhang, Panyue Zhou
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…
From -exangulated categories to -abelian categories
Yu Liu, Panyue Zhou
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…
Grothendieck groups and Auslander-Reiten (d+2)-angles
Panyue Zhou
Xiao and Zhu has shown that if is a locally finite triangulated category, then the Auslander-Reiten triangles generate the relations for the Grothendieck group of …
On the existence of Auslander-Reiten (d+2)-angles in (d+2)-angulated categories
Panyue Zhou
Let be a -angulated category. In this note, we show that if is a locally finite, then has Auslander-Reiten -angles. This extends a result o…