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Publishing Language: Chinese | Open Access

Decomposition theorem from the viewpoint of Chinese remainder theorem

Kailiang LIN1, Li WANG2( )
Northwest A & F University, College of Science, Yangling Shaanxi 712100
Henan Polytechnic University, School of Mathematics and Information Science, Jiaozuo Henan 454003
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Abstract

The root subspace decomposition theorem and the primary space decomposition theorem are two important theorems in linear algebra. Based on the polynomial version of the Chinese remainder theorem, a unified generalization of these two theorems is presented in this paper.

Keywords

Chinese remainder theoremlinear transformationdecomposition theorem
CLC number: O156 Document code: A

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Journal of Capital Normal University (Natural Science Edition)
Volume 47 Issue 2,
April 2026
Pages 46-49
DOI: 10.19789/j.1004-9398.2026.02.007

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LIN K, WANG L. Decomposition theorem from the viewpoint of Chinese remainder theorem. Journal of Capital Normal University (Natural Science Edition), 2026, 47(2): 46-49. https://doi.org/10.19789/j.1004-9398.2026.02.007

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Received: 09 November 2024
Published: 01 April 2026
© The editorial department of Journal of Capital Normal University (Natural Science Edition) 2024.

This is an open access article under the CC BY-NC-ND 4.0 license (https://creativecommons.org/licenses/by-nc-nd/4.0/).