Constants of Differentiation and Differential Ideals
| dc.creator | Hamann, Eloise | |
| dc.date | 2003-11-02 | |
| dc.date | 2003-12-07 | |
| dc.date.accessioned | 2026-07-07T05:02:26Z | |
| dc.date.available | 2026-07-07T05:02:26Z | |
| dc.description | Let R be a differential domain finitely generated over a differential field, F, with field of constants, C, of characteristic 0. Let E be the quotient field of R. The paper investigates necessary and sufficient conditions on R's differential ideals for the constants of differentiation of E to also be C (no new constants). It was known that no proper nonzero differential ideals guarantees no new constants. The paper shows that when C is algebraically closed that if R has only finitely many height one prime differential ideals that E will have no new constants. An example with F infinitely generated over C shows the converse is false. The paper gives conditions on C and F so that when F is finitely generated over C and R is a polynomial ring over F that no new constants in E implies that R has only fintely many height one prime differential ideals. | |
| dc.description | Latex, 9 pages The first paper had mathematical errors. The results in this replacement paper are similar to the original paper with changes to the hypotheses | |
| dc.identifier | https://arxiv.org/abs/math/0311007 | |
| dc.identifier | http://arxiv.org/abs/math/0311007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69047 | |
| dc.subject | Commutative Algebra | |
| dc.subject | 13Nxx | |
| dc.title | Constants of Differentiation and Differential Ideals | |
| dc.type | text |