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On the existence of Auslander-Reiten (d+2)-angles in (d+2)-angulated categories

Published 17 Dec 2019 in math.RT and math.CT | (1912.07983v1)

Abstract: Let $\cal C$ be a $(d+2)$-angulated category. In this note, we show that if $\cal C$ is a locally finite, then $\cal C$ has Auslander-Reiten $(d+2)$-angles. This extends a result of Xiao-Zhu for triangulated categories.

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