Relative tilting theory in extriangulated categories
Representation Theory
2022-10-10 v1
Abstract
In this article, we define relative resolutions and coresolutions in extriangulated categories. By studying this relative resolutions and coresolutions, we get a generalization of the Auslander-Buchweitz approximation theory. Finally, we develop some theories of relative tilting objects in extriangulated categories.
Keywords
Cite
@article{arxiv.2210.03550,
title = {Relative tilting theory in extriangulated categories},
author = {Chenbei Xie},
journal= {arXiv preprint arXiv:2210.03550},
year = {2022}
}
Comments
17 pages