FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1995, VOLUME 1, NUMBER 4, PAGES 923-937

Maximal ideals in semirings of continuous functions

V.I.Varankina

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.

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