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Research Article | Open Access

Gorenstein projective modules over Milnor squares of rings

School of Mathematical Sciences, Laboratory of Mathematics and Complex Systems, MOE, Beijing Normal University, Beijing 100875, China
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Abstract

We construct a class of Gorenstein-projective modules over Milnor squares of rings. As an application, we obtain Gorenstein-projective modules over Morita context rings with two bimodule homomorphisms zero in the general setting instead of Artin algebras or Noetherian rings.

Keywords

Gorenstein-projective moduleMilnor square of ringMorita context ringfiber product category
CLC number: 16E05, 18G05, 18G25

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AIMS Mathematics
Volume 9 Issue 10,
October 2024
Pages 28526-28541
DOI: 10.3934/math.20241384

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Cite this article:
Guo Q. Gorenstein projective modules over Milnor squares of rings. AIMS Mathematics, 2024, 9(10): 28526-28541. https://doi.org/10.3934/math.20241384

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Received: 27 July 2024
Revised: 19 September 2024
Accepted: 24 September 2024
Published: 15 October 2024
©2024 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)