Some asymptotic properties of the Rees powers of a module
| dc.creator | Correia, Ana L. Branco | |
| dc.creator | Zarzuela, Santiago | |
| dc.date | 2004-08-25 | |
| dc.date.accessioned | 2026-07-07T05:11:34Z | |
| dc.date.available | 2026-07-07T05:11:34Z | |
| dc.description | Let R be a commutative ring and let G be a free R-module with positive rank e. For any R-submodule E of G we may consider the image of the symmetric algebra of E by the natural map to the symmetric algebra of G, and then the graded components E_n of the image, that we call the n-th Rees powers of E. In this work we prove some asymptotic properties of the modules E_n, which extend well known similar ones for the case of ideals, among them Burch's inequality for the analytic spread. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408351 | |
| dc.identifier | http://arxiv.org/abs/math/0408351 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72285 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13A30 | |
| dc.title | Some asymptotic properties of the Rees powers of a module | |
| dc.type | text |