Higher Auslander's defect and classifying substructures of n-exangulated categories
Representation Theory
2023-10-17 v1 Category Theory
Abstract
Herschend-Liu-Nakaoka introduced the notion of -exangulated categories. It is not only a higher dimensional analogue of extriangulated categories defined by Nakaoka-Palu, but also gives a simultaneous generalization of -exact categories and -angulated categories. In this article, we give an -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 -exangulated category by using the category of defects.
Keywords
Cite
@article{arxiv.2109.00196,
title = {Higher Auslander's defect and classifying substructures of n-exangulated categories},
author = {Jiangsheng Hu and Yajun Ma and Dongdong Zhang and Panyue Zhou},
journal= {arXiv preprint arXiv:2109.00196},
year = {2023}
}
Comments
24 pages. arXiv admin note: text overlap with arXiv:1709.06689 by other authors