Core and residual intersections of ideals
| dc.creator | Corso, Alberto | |
| dc.creator | Polini, Claudia | |
| dc.creator | Ulrich, Bernd | |
| dc.date | 2002-10-04 | |
| dc.date.accessioned | 2026-07-07T04:51:39Z | |
| dc.date.available | 2026-07-07T04:51:39Z | |
| dc.description | D. Rees and J. Sally defined the core of an $R$-ideal $I$ as the intersection of all $($minimal$)$ reductions of $I$. However, it is not easy to give an explicit characterization of it in terms of data attached to the ideal. Until recently, the only case in which a closed formula was known is the one of integrally closed ideals in a two-dimensional regular local ring, due to C. Huneke and I. Swanson. The main result of this paper explicitly describes the core of a broad class of ideals with good residual properties in an arbitrary local Cohen-Macaulay ring. We also find sharp bounds on the number of minimal reductions that one needs to intersect to get the core. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0210070 | |
| dc.identifier | http://arxiv.org/abs/math/0210070 | |
| dc.identifier | Trans. Amer. Math. Soc. 354 (2002), 2579-2594 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65181 | |
| dc.subject | Commutative Algebra | |
| dc.title | Core and residual intersections of ideals | |
| dc.type | text |