Vol. 138, No. 1, 1989

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Galois theory of differential fields of positive characteristic

Kayoko Shikishima-Tsuji

Vol. 138 (1989), No. 1, 151–168
Abstract

The 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.

Mathematical Subject Classification 2000
Primary: 12H05
Secondary: 12F20
Milestones
Received: 13 July 1987
Revised: 6 May 1988
Published: 1 May 1989
Authors
Kayoko Shikishima-Tsuji