| Z上线性方程组有整数解的判定 |
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| 引用本文： | 董桂真,许筠箬,张庆德.Z上线性方程组有整数解的判定[J].聊城大学学报(自然科学版),1997(2). |
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| 作者姓名： | 董桂真 许筠箬 张庆德 |
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| 作者单位： | 济南教育学院，济南铁路机械学校 |
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| 摘 要： | 利用Z上矩阵的不变因子理论，证明了整系数线性方程组有整数解的充要条件，从而彻底解决了Z上线性方程组的整数解问题．
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| 关 键 词： | 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 SOLUTIONS |
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| Dong Guizhen, Xu Junnuo.A SUFFICIENT AND NECESSARY CONDITION THAT LINEAR EQUATIONS SYSTEM WITH INTEGRAL COEFFICIENT HAS INTEGRAL SOLUTIONS[J].Journal of Liaocheng University:Natural Science Edition,1997(2). |
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| Authors: | Dong Guizhen Xu Junnuo |
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| Institution: | Dong Guizhen; Xu Junnuo(Jinan Eduecational College) (Jinan Railway Machinery School)Zheng Qingde(Department of Computer Science) |
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| Abstract: | This paper proves that a suflicient and necessary condition that linear equations sys-tem with integral coefficient has integral solution. |
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| Keywords: | Unimodular matrix Invariant qactor Normal form |
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