$\omega$-left approximation dimensions under Stable equivalence
Representation Theory
2025-07-15 v1
Abstract
In this paper, we investigate some transfer properties of -left approximation dimensions of modules of stably equivalent Artin algebras having neither nodes nor semisimple direct summands. As applications, we give a one-to-one correspondence between basic (Wakamatsu) tilting modules, and prove that the Wakamatsu tilting conjecture is preserved under those equivalences.
Cite
@article{arxiv.2507.09286,
title = {$\omega$-left approximation dimensions under Stable equivalence},
author = {Juxiang Sun and Guoqiang Zhao and Junling Zheng},
journal= {arXiv preprint arXiv:2507.09286},
year = {2025}
}
Comments
17 pages