On finitely generated G-flat modules over domains

Let [Formula: see text] be a domain. It is proved that if [Formula: see text], then the class of finitely generated [Formula: see text]-flat modules and the class of finitely generated [Formula: see text]-projective modules coincide. It is also proved that an integrally closed domain [Formula: see text] is a Prüfer domain if and only if [Formula: see text], if and only if [Formula: see text].