Open Access
Fall 2001 Generic automorphisms of separably closed fields
Zoé Chatzidakis
Illinois J. Math. 45(3): 693-733 (Fall 2001). DOI: 10.1215/ijm/1258138147

Abstract

We show that the class of separably closed fields with a generic automorphism is an elementary class, whose theory is model complete in a natural extension of the language of fields with an automorphism. We describe the completions of this theory and obtain some results on types, imaginaries, and modularity.

Citation

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Zoé Chatzidakis. "Generic automorphisms of separably closed fields." Illinois J. Math. 45 (3) 693 - 733, Fall 2001. https://doi.org/10.1215/ijm/1258138147

Information

Published: Fall 2001
First available in Project Euclid: 13 November 2009

zbMATH: 0993.03047
MathSciNet: MR1879231
Digital Object Identifier: 10.1215/ijm/1258138147

Subjects:
Primary: 03C60
Secondary: 03C45 , 12H10 , 12L12

Rights: Copyright © 2001 University of Illinois at Urbana-Champaign

Vol.45 • No. 3 • Fall 2001
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