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arXiv · 2109.02068

N-extension closed subcategories of (n+2)-angulated categories

Panyue Zhou
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Abstract

Let $\mathscr C$ be a Krull-Schmidt $(n+2)$-angulated category and $\mathscr A$ be an $n$-extension closed subcategory of $\mathscr C$. Then $\mathscr A$ has the structure of an $n$-exangulated category in the sense of Herschend-Liu-Nakaoka. This construction gives $n$-exangulated categories which are not $n$-exact categories in the sense of Jasso nor $(n+2)$-angulated categories in the sense of Geiss-Keller-Oppermann in general. As an application, our result can lead to a recent main result of Klapproth.

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Panyue Zhou. 2021-09-05. N-extension closed subcategories of (n+2)-angulated categories. https://arxiv.org/abs/2109.02068

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