Abstract
Let F be a differential field with algebraically closed field of constants C and let E
be a differential field extension of F. The field E is a differential Galois extension if
it is generated over F by a full set of solutions of a linear homogeneous differential
equation with coefficients in F and if its field of constants coincides with C. We study
the differential field extensions of F that satisfy the first condition but not the second.
| Original language | English |
|---|---|
| Pages (from-to) | 4 |
| Journal | Comptes Rendus Mathematique, French Academy of Sciences |
| State | Published - May 2010 |