Hereditary $n$-exangulated categories
Abstract
Herschend-Liu-Nakaoka introduced the concept of -exangulated categories as higher-dimensional analogues of extriangulated categories defined by Nakaoka-Palu. The class of -exangulated categories contains -exact categories and -angulated categories as specific examples. In this article, we introduce the notion of hereditary -exangulated categories, which generalize hereditary extriangulated categories. We provide two classes of hereditary -exangulated categories through closed subfunctors. Additionally, we define the concept of -Auslander -exangulated categories and discuss the circumstances under which these two classes of hereditary -exangulated categories become -Auslander.
Cite
@article{arxiv.2401.00777,
title = {Hereditary $n$-exangulated categories},
author = {Jian He and Jing He and Panyue Zhou},
journal= {arXiv preprint arXiv:2401.00777},
year = {2024}
}
Comments
15 pages. arXiv admin note: substantial text overlap with arXiv:2109.12954, arXiv:2006.02223, arXiv:2108.07985, arXiv:2111.06522, arXiv:1909.13284