Geodesic
Maximal congruences on a~semifield of continuous positive functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 305-310.

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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 $X$. 
@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},
     publisher = {mathdoc},
     volume = {6},
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     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a26/}
}
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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/