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Research Article | Open Access

ω-left approximation dimensions under stable equivalences of adjoint type

Juxiang Sun1, Weimin Liu2( )
School of Mathematics and Statistics, Shangqiu Normal University, Shangqiu 476000, China
Department of Physics, Shangqiu Normal University, Shangqiu 476000, China
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Abstract

In this paper, we study invariant properties of ω-left approximation dimensions of modules under the stable equivalences of adjoint type. As applications, we prove that Wakamatsu tilting modules, Wakamatsu tilting conjectures, relative n-torsionfree modules, and generalized Gorenstein dimensions of modules are preserved under those equivalences.

Keywords

ω-left approximation dimensionfaithful dimensionWakamatsu tilting moduleWakamatsu tilting conjecturestable equivalence of adjoint type
CLC number: 16E30, 18G25

References

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AIMS Mathematics
Volume 10 Issue 9,
September 2025
Pages 19994-20009
DOI: 10.3934/math.2025893

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Sun J, Liu W. ω-left approximation dimensions under stable equivalences of adjoint type. AIMS Mathematics, 2025, 10(9): 19994-20009. https://doi.org/10.3934/math.2025893

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Received: 15 April 2025
Revised: 21 August 2025
Accepted: 25 August 2025
Published: 01 September 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)