Gabriel-Quillen embedding for $n$-exact categories
Representation Theory
2021-07-02 v3
Abstract
Our first aim is to provide an analog of the Gabriel-Quillen embedding theorem for -exact categories. Also we give an example of an -exact category that is not an -cluster tilting subcategory, and we suggest two possible ways for realizing -exact categories as -cluster tilting subcategory.
Keywords
Cite
@article{arxiv.2007.11490,
title = {Gabriel-Quillen embedding for $n$-exact categories},
author = {Ramin Ebrahimi},
journal= {arXiv preprint arXiv:2007.11490},
year = {2021}
}
Comments
11 pages, v3: author accepted manuscript, to appear in Communications in Algebra, Proposition 3.8 (proving that H detects n-exact sequences) has been added