FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 305-310

Maximal congruences on a semifield of continuous positive functions

I. A. Semenova

Abstract

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We describe the maximal congruences on a semifield $U(X)$ of continuous positive functions, which are defined on a topological space $X$. It is shown that the space of maximal congruences on $U(X)$ for a Tikhonov space $X$ is homeomorphous to the Hewitt extention of $X$.

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Last modified: April 11, 2000