INTEGRAL CLOSURE OF A RING WHOSE REGULAR IDEALS ARE FINITELY GENERATED

Abstract

We show that if R is a commutative ring with identity whose regular ideals are finitely generated, then the integral closure of R is a Krull ring. This is a generalization of the Mori-Nagata theorem that the integral closure of a Noetherian domain is a Krull domain. (C) 2002 Elsevier Science (USA).