On the integral closure of ideals
| dc.creator | Corso, Alberto | |
| dc.creator | Huneke, Craig | |
| dc.creator | Vasconcelos, Wolmer V. | |
| dc.date | 2002-10-15 | |
| dc.date.accessioned | 2026-07-07T04:51:58Z | |
| dc.date.available | 2026-07-07T04:51:58Z | |
| dc.description | Among the several types of closures of an ideal $I$ that have been defined and studied in the past decades, the integral closure $\bar{I}$ has a central place being one of the earliest and most relevant. Despite this role, it is often a difficult challenge to describe it concretely once the generators of $I$ are known. Our aim in this note is to show that in a broad class of ideals their radicals play a fundamental role in testing for integral closedness, and in case $I\neq \bar{I}$, $\surd{I}$ is still helpful in finding some fresh new elements in $\bar{I}\setminus I$. Among the classes of ideals under consideration are: complete intersection ideals of codimension two, generic complete intersection ideals, and generically Gorenstein ideals. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210229 | |
| dc.identifier | http://arxiv.org/abs/math/0210229 | |
| dc.identifier | Manu. Math. 95 (1998), 2689-2708 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65302 | |
| dc.subject | Commutative Algebra | |
| dc.title | On the integral closure of ideals | |
| dc.type | text |