On the Galois Theory of Differential Fields

DOI10.2307/2372603zbMath0067.27004OpenAlexW2314385873MaRDI QIDQ3228664

E. R. Kolchin

Publication date: 1955

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2372603

zbMATH Keywords

rings, modules, fields

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Superstable differential fields ⋮ Differential Galois theory. II ⋮ An intrinsic characterization of Picard-Vessiot extensions ⋮ A classification of first order differential equations ⋮ Generalized differential Galois theory ⋮ Ordered differential fields ⋮ Differential subfields of Liouvillian extensions ⋮ Existence of Invariant Bases ⋮ Geometric characterization of strongly normal extensions

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