Galois theory of differential fields of positive characteristic
Copyright policy )Galois theory of differential fields of positive characteristic
Strongly normal extensions of a differential field \(K\) of positive characteristic are defined. On the set \(G\) of all differential isomorphisms of a strongly normal extension \(N\) of \(K\), a structure of an algebraic group is induced. Correspondences between subgroups of \(G\) and intermediate differential fields of \(N\) and \(K\) are studied. The proof of Proposition 11 containes an error in the stage of proving that \(C(s)\) is finitely generated over \(C\). A correct proof is given.
12F20, Separable extensions, Galois theory, Galois theory of differential fields of positive characteristic, 12H05, Differential algebra, strongly normal extension
12F20, Separable extensions, Galois theory, Galois theory of differential fields of positive characteristic, 12H05, Differential algebra, strongly normal extension
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