Article ID Journal Published Year Pages File Type
4586484 Journal of Algebra 2011 10 Pages PDF
Abstract

Let (R,m) be a formally equidimensional local ring with and I=(a1,…,an) an m-primary ideal in R. The main result of this paper shows that if I is integrally closed, then so is its image modulo a generic element, that is, if T=R[X1,…,Xn]/(a1X1+⋯+anXn), then .

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory