Integral closure of ideals in excellent local rings
| dc.creator | Delfino, Donatella | |
| dc.creator | Swanson, Irena | |
| dc.date | 2002-10-28 | |
| dc.date.accessioned | 2026-07-07T04:52:26Z | |
| dc.date.available | 2026-07-07T04:52:26Z | |
| dc.description | Let R be an excellent local ring, m its maximal ideal and I an ideal. Then there exists a positive integer c such that for all integers n, the integral closure of (I + m^n) is contained in m^(n/c) + the integral closure of I. In the proof, a version of the linear Artin approximation theorem is proved. | |
| dc.description | Theorem 2.7 in the published version is wrong (we thank Ray Heitmann for pointing it out). This is a corrected version (the main results still hold) | |
| dc.identifier | https://arxiv.org/abs/math/0210436 | |
| dc.identifier | http://arxiv.org/abs/math/0210436 | |
| dc.identifier | Journal of Algebra, 187 (1997), 422-445 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65461 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13B22; 13B40; 13J10; 14B12 | |
| dc.title | Integral closure of ideals in excellent local rings | |
| dc.type | text |