On the Existence of Auslander-Reiten $(d+2)$-angles in $(d+2)$-angulated Categories

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Taiwanese Journal of Mathematics

سال: 2021

ISSN: ['1027-5487', '2224-6851']

DOI: https://doi.org/10.11650/tjm/201102