Homological invariant properties under cleft extensions
Category Theory
2025-09-29 v2 Rings and Algebras
Abstract
We study the behavior of the Gorenstein weak global dimension under a cleft extension of rings; we prove that under some mild conditons the finiteness of the Gorenstein weak global dimension is invariant. Moreover, we compare the relative singularity categories with respect to flat-cotorsion modules under a cleft extension of rings. Some applications to {\theta}-extensions and Morita context rings are given.
Cite
@article{arxiv.2506.02691,
title = {Homological invariant properties under cleft extensions},
author = {Li Liang and Yajun Ma and Gang Yang},
journal= {arXiv preprint arXiv:2506.02691},
year = {2025}
}
Comments
19 pages