摘要
一次不定方程现在通常的解法是将其化为一次不定方程组来解 ,当未知数较多时 ,其解法极其繁复。本文利用矩阵和自由阿贝尔群的理论 ,对一次不定方程的解的结构进行了讨论 ,并利用其结论给出了一种简单解法。另外 。
The current method of solving first order indefinite equatio n is changing the equation to first order indefinite equation gr oup to solve. But according this method, if variables are very many, it will be difficult to solve the equation using the current method. In this paper, it prov ides a simple method by discussing the structure of solution based on the theory of free abelian group. In addition, this method makes it easy to get the genera lized solution of the equation using the computer.
关键词
一次不定方程
自由阿贝尔群
解基
first order indefinite equation
free abelian group
solution basis
