The index of reducibility of parameter ideals in low dimension
| dc.creator | Rogers, Mark W. | |
| dc.date | 2004-08-11 | |
| dc.date.accessioned | 2026-07-07T05:11:12Z | |
| dc.date.available | 2026-07-07T05:11:12Z | |
| dc.description | Results are presented concerning the following question: If M is a finitely-generated module with finite local cohomologies over a Noetherian local ring (A, m), does there exist an integer n such that every parameter ideal for M contained in m^n has the same index of reducibility? We show that the answer is yes if M has dimension 1 or if M has dimension 2 and positive depth. This research is closely related to work of Goto-Suzuki and Goto-Sakurai; Goto-Sakurai have supplied an answer of yes in case M is Buchsbaum. | |
| dc.description | 12 pages. J. Algebra 278/2 (2004) 571-584 (to appear) | |
| dc.identifier | https://arxiv.org/abs/math/0408143 | |
| dc.identifier | http://arxiv.org/abs/math/0408143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72159 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10 (Primary); 13D45 (Secondary) | |
| dc.title | The index of reducibility of parameter ideals in low dimension | |
| dc.type | text |