Abstract
Let $D$ be a Dedekind domain and $R = Int(D)$ be the ring of integer-valued polynomials of $D$. We relate the ideal class groups of $D$ and $R$. In particular we prove that, if $D = \mathbb {Z}$ is the ring of rational integers, then the ideal class group of $R$ is a free abelian group on a countably infinite basis.
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