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arXiv · 1912.07983

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

Panyue Zhou
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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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Panyue Zhou. 2019-12-17. On the existence of Auslander-Reiten (d+2)-angles in (d+2)-angulated categories. https://arxiv.org/abs/1912.07983

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