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；

youdao

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。

youdao

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。

youdao