| 整数环上一类三阶矩阵方程有解的充要条件 |
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| 引用本文： | 黎洪键.整数环上一类三阶矩阵方程有解的充要条件[J].大学数学,2021,37(2):1-6. |
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| 作者姓名： | 黎洪键 |
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| 作者单位： | 华南师范大学 数学科学学院,广州 510631 |
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| 摘 要： | 给出了整数环上一类三阶矩阵方程有解的充要条件.
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| 关 键 词： | 整数矩阵方程 矩阵的阶 特征值 扩张次数 |
Sufficient and Necessary Conditions for the Solution of a Class of Third-order Matrix Equations Over Integer Rings |
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| LI Hong-jian.Sufficient and Necessary Conditions for the Solution of a Class of Third-order Matrix Equations Over Integer Rings[J].College Mathematics,2021,37(2):1-6. |
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| Authors: | LI Hong-jian |
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| Institution: | (School of Mathematics,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | We give the sufficient and necessary conditions for the solution of a class of third-order matrix equations over integer rings. |
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| Keywords: | integral matrix equation order of matrix eigenvalue the degree of a field Extension |
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