Geodesic
Maximal ideals in semirings of continuous functions
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 923-937

Voir la notice de l'article provenant de la source Math-Net.Ru

The author investigates the conditions on a topological space $X$ and a topological semiring $S$ of the existence of a canonical homeomorphism between the maximal ideal space of the semiring $C(X,S)$ and the Tikhonov product of $X$ and the maximal ideal space of the semiring $S$. The generalized zero sets and the properties of continuous function semirings are considered. An analog of Gelfand–Kolmogorov theorem is obtained for maximal ideals of semirings of continuous functions with values in topological semiskewfields. 
@article{FPM_1995_1_4_a5,
     author = {V. I. Varankina},
     title = {Maximal ideals in semirings of continuous functions},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {923--937},
     publisher = {mathdoc},
     volume = {1},
     number = {4},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a5/}
}
TY  - JOUR
AU  - V. I. Varankina
TI  - Maximal ideals in semirings of continuous functions
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 923
EP  - 937
VL  - 1
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a5/
LA  - ru
ID  - FPM_1995_1_4_a5
ER  - 
%0 Journal Article
%A V. I. Varankina
%T Maximal ideals in semirings of continuous functions
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 923-937
%V 1
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a5/
%G ru
%F FPM_1995_1_4_a5
V. I. Varankina. Maximal ideals in semirings of continuous functions. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 923-937. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a5/