Normal transversality and uniform bounds
| dc.creator | Planas-Vilanova, Francesc | |
| dc.date | 1999-06-30 | |
| dc.date.accessioned | 2026-07-07T05:29:43Z | |
| dc.date.available | 2026-07-07T05:29:43Z | |
| dc.description | For two ideals $I$ and $J$ of a noetherian ring, we characterize, in terms of the vanishing of Tor modules, when the associated graded ring of the sum $I+J$ is isomorphic to the tensor product of the associated graded ring of $I$ and the associated graded ring of $J$. It is shown that the relation type of the tensor product of two standard algebras is bounded above by the maximum of the relation type of each algebra. As a consequence, we deduce a uniform bound for the relation type of maximal ideals of an excellent ring and a classical result of Duncan and O'Carroll on the strong uniform Artin-Rees property. | |
| dc.description | 12 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/9906208 | |
| dc.identifier | http://arxiv.org/abs/math/9906208 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78749 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 13A30 (Primary) 13D02 (Secondary) | |
| dc.title | Normal transversality and uniform bounds | |
| dc.type | text |