| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9519542 | Comptes Rendus Mathematique | 2005 | 4 Pages |
Abstract
In the paper by Guzy and Point, Differential topological fields, the model-completion (OVF)Dâ of the theory of ordered valued differential fields OVFD is established. Models of this theory are closed ordered differential fields (the theory CODF was studied by Singer) which have a non-trivial convex (for the order) subring as valuation ring. Here we prove the valued analogue of a result of Singer: if K is a model of (OVF)Dâ then K(i) (i2=â1) is a model of the theory of differentially closed valued fields which is the model-completion of the theory of non-trivially valued differential fields of characteristic zero. To cite this article: N. Guzy, C. R. Acad. Sci. Paris, Ser. I 341 (2005).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Nicolas Guzy,