Three homological invariants under cleft extensions
Category Theory
2026-02-03 v5 Rings and Algebras
Representation Theory
Abstract
In this paper, we investigate the behavior of Igusa-Todorov distances, extension and Rouquier dimensions under cleft extensions of abelian categories. We apply our results to Morita context rings, trivial extension rings, tensor rings and arrow removals.
Keywords
Cite
@article{arxiv.2411.07804,
title = {Three homological invariants under cleft extensions},
author = {Yajun Ma and Junling Zheng and Yu-Zhe Liu},
journal= {arXiv preprint arXiv:2411.07804},
year = {2026}
}
Comments
To appear in the Journal of Algebra