Differential `Galois' extensions with new constants

Lourdes Juan; Andy R. Magid

Differential `Galois' extensions with new constants

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

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

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