| 关于剩余类环Z_m上的线性方程组 |
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| 引用本文： | 李裕葵,杨继明,张宝华. 关于剩余类环Z_m上的线性方程组[J]. 陕西师范大学学报(自然科学版), 2004, 0(Z1) |
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| 作者姓名： | 李裕葵 杨继明 张宝华 |
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| 作者单位： | 玉溪农业职业技术学院，玉溪师范学院数学系，玉溪师范学院数学系 云南玉溪653106，云南玉溪653100，云南玉溪653100 |
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| 摘 要： | 给出了剩余类环Zm中的整除、Zm上的矩阵的初等变换以及行列式因子等概念,并说明它在Zm上的线性方程组中的应用,由此很容易得出k个n元整系数线性型是正交组的充要条件.
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| 关 键 词： | 剩余类环 整除 矩阵 初等变换 线性方程租 |
The linear equation system on the ring-Z_m of remanent class |
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| LI Yu-kui,YANG Ji-ming,ZHANG Bao-hua. The linear equation system on the ring-Z_m of remanent class[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 2004, 0(Z1) |
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| Authors: | LI Yu-kui YANG Ji-ming ZHANG Bao-hua |
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| Affiliation: | LI Yu-kui~1,YANG Ji-ming~2,ZHANG Bao-hua~2 |
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| Abstract: | The integral division in the ring-Z_m of remanent class, the matrix elementary operation and determinant operator on Z_m are given. Their applications in the linear equation system on Z_m are illustruted. Therefore, the necessary and sufficient condition that k n-variable linear types with integral coefficient are orthogonal systems is easily obtained. |
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| Keywords: | ring of remanent class integral division matrix elementary operation linear equation system |
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