Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 305-310
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I. A. Semenova. Maximal congruences on a semifield of continuous positive functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 305-310. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a26/
@article{FPM_2000_6_1_a26,
author = {I. A. Semenova},
title = {Maximal congruences on a~semifield of continuous positive functions},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {305--310},
year = {2000},
volume = {6},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a26/}
}
TY - JOUR
AU - I. A. Semenova
TI - Maximal congruences on a semifield of continuous positive functions
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 305
EP - 310
VL - 6
IS - 1
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a26/
LA - ru
ID - FPM_2000_6_1_a26
ER -
%0 Journal Article
%A I. A. Semenova
%T Maximal congruences on a semifield of continuous positive functions
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 305-310
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a26/
%G ru
%F FPM_2000_6_1_a26
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 $X$.
