Results 101 to 110 of about 23,993 (138)

The Inverse Problem in the Galois Theory of Differential Fields

open access: closedThe Annals of Mathematics, 1969
In this paper we continue the study of the inverse problem in the Galois theory of differential field extensions which was begun in Kovacic [3]. (We shall refer to that paper as IP.) In Chapter I we develop the theory of the logarithmic derivative in the case of abstract group varieties (i.e.
J. Kovacic
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On the inverse problem in di¤erential Galois theory

open access: closedJournal für die reine und angewandte Mathematik (Crelles Journal), 2005
Let \(K\) be an algebraically closed field of characteristic zero and \(F=K(x)\) be a field of rational function of variable \(x\) over \(K\) with derivation \(\frac{d}{dx}\). The author proved the following result Theorem. Let \(G\) be a linear algebraic group defined over \(K\).
Julia Hartmann
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INVERSE DIFFERENTIAL GALOIS THEORY

open access: closedDifferential Algebra and Related Topics, 2002
Andy R. Magid
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