循环群相关命题的有效证法

The Effective Method of Cyclic Group Proposition

本文分为三部分,首先给出了证明群是循环群的两种方法,进一步给出了两个循环群相等的两种方法,最后将证明方法推广到循环环的理想的相关证明中.

This paper consists of three parts. Above all, it provides us with two kinds of methods, by which group is proved to be cyclic group. Furthermore, this paper presents two ways to prove two cyclic groups equal. In the end, the methods are extended to the relevant proof of the ideal of the cyclic ring.