For a ring R we will use
L(R) to denote the lattice of ideals of R. It is known that for a Dedekind domain D,
there exists a PID D′ such that L(D) and L(D′) are isomorphic. In this note we show
that for a Prüfer domain D, there exists a Bézout domain D′ such that L(D) and
L(D′) are isomorphic.