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arXiv · 2401.00777

Hereditary $n$-exangulated categories

Jian He·Jing He·Panyue Zhou
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Abstract

Herschend-Liu-Nakaoka introduced the concept of $n$-exangulated categories as higher-dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of $n$-exangulated categories contains $n$-exact categories and $(n+2)$-angulated categories as specific examples. In this article, we introduce the notion of hereditary $n$-exangulated categories, which generalize hereditary extriangulated categories. We provide two classes of hereditary $n$-exangulated categories through closed subfunctors. Additionally, we define the concept of $0$-Auslander $n$-exangulated categories and discuss the circumstances under which these two classes of hereditary $n$-exangulated categories become $0$-Auslander.

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Jian He, Jing He, Panyue Zhou. 2024-01-01. Hereditary $n$-exangulated categories. https://arxiv.org/abs/2401.00777

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