First, semi ring of fractions of a semi ring about a multiplicative closed subset in it is constructed.
先构造交换半环关于其乘法封闭子集的分式半环；
And finally we prove that let a be a subset of real Numbers, if every continuous function which is defined on a and taken value in a has fixed point, then a is a finite closed interval.
最后还证明了对于实数的子集a，如果定义在A上取值于A内的任一连续函数都有不动点，则A为实数的有限闭区间。
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