Note on the Krull dimension of rings of integer-valued polynomials

M. M. Chems-Eddin, B. Feryouch, A. Tamoussit

Let $D$ be an integral domain with quotient field $K,$ $E$ a subset of $K$ and $X$ an indeterminate over $K$. The set $\mathrm{Int}(E,D):=\{f\in K[X];f(E)\subseteq D\}$, of inte…