Higher Auslander's defect and classifying substructures of n-exangulated categories

Autor:	Hu, Jiangsheng, Ma, Yajun, Zhang, Dongdong, Zhou, Panyue
Rok vydání:	2021
Předmět:	Mathematics - Representation Theory Mathematics - Category Theory
Zdroj:	Applied Categorical Structures, Volume 31, Article number: 15 (2023)
Druh dokumentu:	Working Paper
Popis:	Herschend-Liu-Nakaoka introduced the notion of $n$-exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but also gives a simultaneous generalization of $n$-exact categories and $(n+2)$-angulated categories. In this article, we give an $n$-exangulated version of Auslander's defect and Auslander-Reiten duality formula. Moreover, we also give a classification of substructures (=closed subbifunctors) of a given skeletally small $n$-exangulated category by using the category of defects. Comment: 24 pages. arXiv admin note: text overlap with arXiv:1709.06689 by other authors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.00196 Zobrazit plný text záznamu View this record from Arxiv