An upper bound on the reduction number of an ideal
| dc.creator | Kinoshita, Yayoi | |
| dc.creator | Nishida, Koji | |
| dc.creator | Sakata, Kensuke | |
| dc.creator | Shinya, Ryuta | |
| dc.date | 2007-11-30 | |
| dc.date.accessioned | 2026-07-07T08:46:24Z | |
| dc.date.available | 2026-07-07T08:46:24Z | |
| dc.description | Let A be a commutative ring and I an ideal of A with a reduction Q. In this paper we give an upper bound on the reduction number of I with respect to Q, when a suitable family of ideals in A is given. As a corollary it follows that if some ideal J containing I satisfies J^2 = QJ, then I^{v + 2} = QI^{v + 1}, where v denotes the number of generators of J / I as an A-module. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/0711.4880 | |
| dc.identifier | http://arxiv.org/abs/0711.4880 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143236 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A15; 13A30; 13H15 | |
| dc.title | An upper bound on the reduction number of an ideal | |
| dc.type | text |