chapter  15
7 Pages

Polynomial Separation of Points in Algebras

BySophie Frisch

Definition 1.1. If D is a domain with quotient field K, the ring of integer-valued polynomials of D is

Int(D) = {f ∈ K[x] | ∀d ∈ D : f(d) ∈ D}. Rings of integer-valued polynomials have proved remarkably well suited for in-

terpolation purposes.