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Research Article | Open Access

a -Depth and a -Cohen-Macaulay modules

Pengju Ma( ), Yanjie Li
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
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Abstract

Let S be a commutative Noetherian ring and a a proper ideal of S. We give several bounds of a -depth of S-complexes and S-modules, investigate the behavior of a -depth and a -Cohen-Macaulay modules under tensor product with a faithfully flat S-module. Furthermore, we establish the Foxby equivalence of a -Cohen-Macaulay S-modules.

Keywords

a-deptha-Cohen-Macaulay S-moduleFoxby equivalence

References

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Electronic Research Archive
Volume 34 Issue 2,
February 2026
Pages 1195-1208
DOI: 10.3934/era.2026055

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Cite this article:
Ma P, Li Y. a -Depth and a -Cohen-Macaulay modules. Electronic Research Archive, 2026, 34(2): 1195-1208. https://doi.org/10.3934/era.2026055

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Received: 06 December 2025
Revised: 22 January 2026
Accepted: 26 January 2026
Published: 06 February 2026
©2026 the Author(s), licensee AIMS Press.

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