Coefficients and values Additive structure Stone-Weierstrass Integer-valued polynomials on a subset Prime ideals Multiplicative properties Skolem properties Invertible ideals and the Picard group Integer-valued derivatives and finite differences Integer-valued rational functions Integer-valued polynomials in several indeterminates References List of symbols Index.

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Integer-Valued Polynomials

For any integral doma in A with quotient filed K and for any positive integer n define Int .We show that, with certain restrictions placed on A and with n = 1, Int(A,1) is a Prufer domain and we use this to prove the following theorem: If I, J are finitely generated idelas in Int(a,1) satisfying I(a) = J(a) for every a∊A, then I = J.

A theorem on ideals in prüfer rings of integral-valued polynomials

The authors wish to celebrate the centenary of Polya's paper Ueber ganzwertige ganze funktionen where first explicitly appeared the term “integer-valued polynomials.” This survey is focused on the ...

https://www.jstor.org/stable/10.4169/amer.math.monthly.123.4.311

E.G. Straus

Papers

A basis for the ring of doubly integer-valued polynomials.