| 整数环上线性方程组有解的充要条件 |
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| 引用本文： | 董桂真. 整数环上线性方程组有解的充要条件[J]. 济南大学学报(社会科学版), 1997, 0(3) |
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| 作者姓名： | 董桂真 |
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| 作者单位： | 济南教育学院!济南250001 |
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| 摘 要： | 本文利用整数环上矩阵的不变因子理论,给出并证明了整系数线性方程组有整数解的一个充要条件.
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| 关 键 词： | 整数矩阵 不变因子 正规形式 单模矩阵 |
A SUFFICIENT AND NECESSARY CONDITION THAT LINEAR EQUATIONS SYSTEM WITH INTEGRAL COEFFICIENT HAS INTEGRAL SOLUTION |
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| Dong Guizhen. A SUFFICIENT AND NECESSARY CONDITION THAT LINEAR EQUATIONS SYSTEM WITH INTEGRAL COEFFICIENT HAS INTEGRAL SOLUTION[J]. Journal of Jinan University, 1997, 0(3) |
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| Authors: | Dong Guizhen |
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| Abstract: | In this paper, we prove that a sufficient and necessary condition that linear equations system with integral coefficient has integral solutions. |
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| Keywords: | Integral matrix Invariant factor Normal form Unimodular matrix |
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