The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomology
| dc.creator | Liu, J. C. | |
| dc.creator | Rogers, M. W. | |
| dc.date | 2005-10-15 | |
| dc.date.accessioned | 2026-07-07T06:47:31Z | |
| dc.date.available | 2026-07-07T06:47:31Z | |
| dc.description | We prove that if M is a finitely-generated module of dimension d with finite local cohomologies over a Noetherian local ring, and if the ith local cohomology module of M is zero unless i = d, i = 0, and i = r for some r strictly between 0 and d, then there is an integer l such that every parameter ideal for M contained in the lth power of the maximal ideal has the same index of reducibility on M. This theorem generalizes work of the second author (math.AC/0408143) and is closely related to work of S. Goto, H. Sakurai (math.AC/0306148), and N. Suzuki. | |
| dc.description | Under review. 21 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510322 | |
| dc.identifier | http://arxiv.org/abs/math/0510322 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103679 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 (Primary) 13H10 (Secondary) | |
| dc.title | The Index of Reducibility of Parameter Ideals and Mostly Zero Finite Local Cohomology | |
| dc.type | text |