连续p-adic值函数环的代数特征
Algebraic Characterization of Rings of Continuous p-adic Valued Functions
摘要：
给出了紧空间$X$上所有连续$\mathbb{Q}_p$值函数的环$C(X,\mathbb{Q}_p)$的代数刻划.其特征与M. Stone从1940年开始对$\mathbb{R}$ -值函数的情况进行了研究。
英文摘要：
The aim of this paper is to give an algebraic characterization of the rings $C(X,\mathbb{Q}_p)$ of all continuous $\mathbb{Q}_p$-valued functions on a compact space $X$. The characterization is similar to that of M. Stone from 1940 for the case of $\mathbb{R}$-valued functions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
