PRUFERS ASCENT RESULT VIA INC

Let R be an integral domain whose integral closure is a Prufer domain. It is proved that R subset of or equal to T has the incomparability p roperty for each integral domain T which contains R and is algebraic o ver R. As a corollary, one has a new proof of Prufer's ascent result, which states that if R is as above and T is the integral closure of R in some field containing R, then T is a Prufer domain.