Generalized differential Galois theory

Landesman, Peter

doi:10.1090/S0002-9947-08-04586-8

Generalized differential Galois theory
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Trans. Amer. Math. Soc. 360 (2008), 4441-4495 Request permission

Abstract:

A Galois theory of differential fields with parameters is developed in a manner that generalizes Kolchin’s theory. It is shown that all connected differential algebraic groups are Galois groups of some appropriate differential field extension.

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