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arXiv 2110.02476math.RTmath.CT
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关于$n$ -换角范畴中Auslander-Reiten $n$-换角的存在性

On the existence of Auslander-Reiten $n$-exangles in $n$-exangulated categories

Jian He, Jiangsheng Hu, Dongdong Zhang, Panyue Zhou

备注：
18 pages. arXiv admin note: substantial text overlap with arXiv:2109.12954; text overlap with arXiv:2108.07985, arXiv:2109.00196. text overlap with arXiv:2006.02223, arXiv:2011.00729, arXiv:1909.13284; text overlap with arXiv:1709.06689 by other authors
发表信息：
Ark. Mat. 60 (2022), no. 2, 365-385
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摘要：

设$\mathscr{C}$是一个$n$ -exangulated范畴.本文证明了如果$\mathscr{C}$是局部有限的，则$\mathscr{C}$有Auslander-Reiten $n$ -扩张.这统一和推广了Xiao-Zhu，Zhu-Zhuang，Zhou和Xie-Lu-Wang分别关于三角范畴，外三角范畴，$(n+2)$ -角范畴和$n$ -阿贝尔范畴的结果.

英文摘要：

Let $\mathscr{C}$ be an $n$-exangulated category. In this note, we show that if $\mathscr{C}$ is locally finite, then $\mathscr{C}$ has Auslander-Reiten $n$-exangles. This unifies and extends results of Xiao-Zhu, Zhu-Zhuang, Zhou and Xie-Lu-Wang for triangulated, extriangulated, $(n+2)$-angulated and $n$-abelian categories, respectively.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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