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math.RT2021★ 1 cited
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…
math.RT2021★ 1 cited
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…