Gorenstein rings and irreducible parameter ideals
| dc.creator | Marley, Thomas | |
| dc.creator | Rogers, Mark W. | |
| dc.creator | Sakurai, Hideto | |
| dc.date | 2006-08-26 | |
| dc.date | 2006-09-06 | |
| dc.date.accessioned | 2026-07-07T07:22:13Z | |
| dc.date.available | 2026-07-07T07:22:13Z | |
| dc.description | Given a Noetherian local ring (R,m) it is shown that there exists an integer l such that R is Gorenstein if and only if some system of parameters contained in m^l generates an irreducible ideal. We obtain as a corollary that R is Gorenstein if and only if every power of the maximal ideal contains an irreducible parameter ideal. | |
| dc.description | 9 pages; submitted; Replacement: Coauthor H. Sakurai added, reference to work of J. R. Strooker added, introduction shortened | |
| dc.identifier | https://arxiv.org/abs/math/0608661 | |
| dc.identifier | http://arxiv.org/abs/math/0608661 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115577 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13D45 (Primary) 13H10 (Secondary) | |
| dc.title | Gorenstein rings and irreducible parameter ideals | |
| dc.type | text |