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Algebraic Characterization of Rings of Continuous p-adic Valued Functions

Published 17 Jun 2013 in math.AC and math.RA | (1306.3788v3)

Abstract: 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.

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