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环Z/pE上线性方程组的求解
引用本文:高峰修.环Z/pE上线性方程组的求解[J].信息工程大学学报,2001,2(1).
作者姓名:高峰修
作者单位:信息工程大学信息安全学院,
摘    要:本文给出了环Z/(pe)上线性方程有解的判别条件 ,解决了线性方程组的解的结构与计数问题 ,从而使得解环Z/(pe)上的线性方程组解变得很容易。

关 键 词:环Z/(pe)上线性方程组  环Z/(pe)-广义线性无关  环Z/(pe)矩阵的广义秩

The Solution Structure and the Number of Solutions of Systems of Linear Equations over the Ring Z/(p~e)
GAO Feng,xiu.The Solution Structure and the Number of Solutions of Systems of Linear Equations over the Ring Z/(p~e)[J].Journal of Information Engineering University,2001,2(1).
Authors:GAO Feng  xiu
Affiliation:GAO Feng xiu
Abstract:In this paper, the author gives the condition that a system of linear equations over the ring Z/(p e) has solutions and desiribes how to find the solutions and to get the number of solutions of the systems of linear equations. Therefore, it becomes easier to find the solutions of these systems of linear equations.
Keywords:systems of linear equations over the ring  Z/(p  e)  universal linear independence  the universal rank of a matrix
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