The set of indeterminate rings of a normal pair as a partially ordered set (Q691654)

Given an extension \(R \subseteq S\) of integral domains, let \([R,S]\) be the set of intermediate rings between \(R\) and \(S\) ordered by inclusion. In this paper, the author shows that if \((R,S)\) is a normal pair (every \(T \in [R,S]\) is integrally closed in \(S\)) and \([R,S]\) is finite, then there is a semi-local Prüfer (Bezout) domain \(T\) with quotient field \(K\) such that \([R,S] \cong [T,K]\) as partially ordered sets.