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Preprint Number 2002
2002. Ivan Tomasic and Michael Wibmer Difference Galois theory and dynamics E-mail: Submission date: 9 June 2021 Abstract: We develop a Galois theory for difference ring extensions, inspired by
Magid's separable Galois theory for ring extensions and by Janelidze's
categorical Galois theory. Our difference Galois theorem states that the
category of difference ring extensions split by a chosen Galois
difference ring
extension is classified by actions of the associated difference profinite
Galois groupoid. In particular, difference locally étale extensions of a
difference ring are classified by its difference profinite fundamental
groupoid. Mathematics Subject Classification: 18E50, 12H05, 37B10, 18D40 Keywords and phrases: |

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