Ideal approximation in $n$-exangulated categories
Category Theory
2022-07-28 v1
Abstract
In this paper, we study the ideal approximation theory associated to almost -exact structures in the -exangulated category. The notions of -ideal cotorsion pairs and --phantom morphisms are introduced and studied. In particular, let be an extriangulated category which satisfies the condition (WIC) and be a nicely embedded -cluster tilting subcategory of , we prove Salce's Lemma in .
Keywords
Cite
@article{arxiv.2207.13465,
title = {Ideal approximation in $n$-exangulated categories},
author = {Yucheng Wang and Jiaqun Wei},
journal= {arXiv preprint arXiv:2207.13465},
year = {2022}
}
Comments
29 pages. arXiv admin note: text overlap with arXiv:1709.06689 by other authors