Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4586484 | Journal of Algebra | 2011 | 10 Pages |
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