Name
Abstract | ||
|---|---|---|
We revisit Kolchin's results on definability of differential Galois groups of strongly normal extensions, in the case where the field of constants is not necessarily algebraically closed. In certain classes of differential topological fields, which encompasses ordered or p-valued differential fields, we find a partial Galois correspondence and we show one cannot expect more in general. In the class of ordered differential fields, using elimination of imaginaries in CODF, we establish a relative Galois correspondence for relatively definable subgroups of the group of differential order automorphisms. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1002/malq.201600098 | MATHEMATICAL LOGIC QUARTERLY |
Field | DocType | Volume |
Embedding problem,Discrete mathematics,Combinatorics,Splitting of prime ideals in Galois extensions,Galois cohomology,Galois extension,Galois group,Galois module,Fundamental theorem of Galois theory,Mathematics,Differential Galois theory | Journal | 64 |
Issue | ISSN | Citations |
3 | 0942-5616 | 1 |
PageRank | References | Authors |
0.36 | 2 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Quentin Brouette | 1 | 2 | 1.40 |
| Françoise Point | 2 | 21 | 10.04 |