A Question about Differential Ideals
| dc.creator | Hamann, Eloise | |
| dc.date | 2003-11-02 | |
| dc.date.accessioned | 2026-07-07T05:02:26Z | |
| dc.date.available | 2026-07-07T05:02:26Z | |
| dc.description | The paper investigates the converse to the following theorem. Let R be a differential domain R which is finitely generated over a differential field F whose field of constants is algebraically closed of characteristic 0. If R has no proper nonzero differential ideals, then the quotient field, E, of R has no new constants. The converse is false, but a question was raised about the existence of a finitely generated extension of R within E which has no proper nonzero differential ideals when E has no new constants. This posted paper gives one example to show this is false and two limited positive results in Krull dimension one or two. | |
| dc.description | 10 pages. Latex This paper is an extract of a paper about to appear in Comms. in Algebra. The paper's 2nd. counterexample has a fatal flaw that was discovered too late to pull the paper. This posting is to alert readers | |
| dc.identifier | https://arxiv.org/abs/math/0311006 | |
| dc.identifier | http://arxiv.org/abs/math/0311006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69046 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13Nxx | |
| dc.title | A Question about Differential Ideals | |
| dc.type | text |