RUS  ENG
Full version
JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2000 Volume 6, Issue 1, Pages 305–310 (Mi fpm469)

This article is cited in 4 papers

Short communications

Maximal congruences on a semifield of continuous positive functions

I. A. Semenova

Vyatka State Pedagogical University

Abstract: 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 $X$.

UDC: 512.556

Received: 01.12.1996



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024