Differential `Galois' extensions with new constants

Lourdes Juan, Andy R. Magid

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)4
JournalComptes Rendus Mathematique, French Academy of Sciences
StatePublished - May 2010


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