Modules of reduction number one
| dc.creator | Hayasaka, Futoshi | |
| dc.date | 2006-12-23 | |
| dc.date.accessioned | 2026-07-07T07:36:59Z | |
| dc.date.available | 2026-07-07T07:36:59Z | |
| dc.description | Let (A, m) be a Noetherian local ring and N a parameter module in F=A^r and M=N:_F m the socle module of N. In this paper, we shall prove that the module M=N:_F m has a reduction number at most one and hence its Rees algebra R(M) is Cohen-Macaulay, if the base ring A is Cohen-Macaulay of dimension two and the rank of N is greater than or equal to two. This result gives numerous examples of Cohen-Macaulay Rees algebras of modules, which are not integrally closed and not a parameter module. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612741 | |
| dc.identifier | http://arxiv.org/abs/math/0612741 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120620 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H10; 13H05; 13D05 | |
| dc.title | Modules of reduction number one | |
| dc.type | text |