Galois theory of differential fields of positive characteristic
type: Item
instance of: scholarly article
title: Galois theory of differential fields of positive characteristic
zbMATH Open document ID: 0635.12016
author: B. George
published in: Pacific Journal of Mathematics
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pjm/1102650286
review text: 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.
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 12F10
zbMATH DE Number: 4033871
zbMATH Keywords: Galois theory of differential fields of positive characteristic
zbMATH Keywords: strongly normal extension
MaRDI profile type: Publication
OpenAlex ID: W2050466512
DOI: 10.2140/PJM.1989.138.151
description: scientific article; zbMATH DE number 4033871