An analogue of a theorem due to Levin and Vasconcelos
| dc.creator | Asadollahi, Javad | |
| dc.creator | Puthenpurakal, Tony J. | |
| dc.date | 2004-07-15 | |
| dc.date.accessioned | 2026-07-07T05:10:22Z | |
| dc.date.available | 2026-07-07T05:10:22Z | |
| dc.description | Let $(R,\m)$ be a Noetherian local ring. Consider the notion of homological dimension of a module, denoted H-dim, for H= Reg, CI, CI$_*$, G, G$^*$ or CM. We prove that, if for a finite $R$-module $M$ of positive depth, $\Hd_R({\m}^iM)$ is finite for some $i \geq \reg(M)$, then the ring $R$ has property H. | |
| dc.description | 7 pages. To appear in Contemporary Math | |
| dc.identifier | https://arxiv.org/abs/math/0407271 | |
| dc.identifier | http://arxiv.org/abs/math/0407271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71906 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13H05; 13D10 | |
| dc.title | An analogue of a theorem due to Levin and Vasconcelos | |
| dc.type | text |