On the Functional Equation f(x) = ...f((x+j)/k) Over Finite Rings. (Short Communication).
H. Shank, H.-H. Kairies, L.J. Dickey (1975)
Aequationes mathematicae
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Displaying similar documents to “Hosszú's functional equation over rings generated by their units. (Short Communication).”
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A super real closed ring is a commutative ring equipped with the operation of all continuous functions ℝⁿ → ℝ. Examples are rings of continuous functions and super real fields attached to z-prime ideals in the sense of Dales and Woodin. We prove that super real closed rings which are fields are an elementary class of real closed fields which carry all o-minimal expansions of the real field in a natural way. The main part of the paper develops the commutative algebra of super real closed...