Remarks on a Theorem of Bourbaki

Abstract

Bourbaki has established the following theorem which we state without proof asTHEOREM A ([3, Theorem 6, §4]). Let R be a noetherian integrally closed domain and M a finitely generated torsion free R-module. Then there exists a free submodule F of M such that M/F is isomorphic to an ideal in R.It is our purpose in this note to present a few consequences of this theorem. Before giving these results we briefly review some terminology and known results.