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arXiv · 2507.09286

$\omega$-left approximation dimensions under Stable equivalence

Juxiang Sun·Guoqiang Zhao·Junling Zheng
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Abstract

In this paper, we investigate some transfer properties of $\omega$-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.

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BibTeXRIS

Juxiang Sun, Guoqiang Zhao, Junling Zheng. 2025-07-12. $\omega$-left approximation dimensions under Stable equivalence. https://arxiv.org/abs/2507.09286

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