Geodesic
Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions with the max-plus
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 6, pp. 153-189 
V. V. Sidorov. Isomorphisms of lattices of subalgebras of semirings of continuous nonnegative functions with the max-plus. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 6, pp. 153-189. http://geodesic.mathdoc.fr/item/FPM_2014_19_6_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Isomorphisms $\varphi$ of semirings $C^\vee(X)$ of continuous nonnegative functions over an arbitrary Hewitt space $X$ with the condition $\varphi(\mathbb R^+)=\mathbb R^+$ are characterized in this work. It is proved that any isomorphism of lattices of all subalgebras of semirings $C^\vee(X)$ and $C^\vee(Y)$ is induced by a unique isomorphism of semirings excepting the case of one- and two-point Tychonovization of spaces.

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