Illinois Journal of Mathematics

Generic automorphisms of separably closed fields

Zoé Chatzidakis

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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.

Article information

Source
Illinois J. Math., Volume 45, Number 3 (2001), 693-733.

Dates
First available in Project Euclid: 13 November 2009

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1258138147

Digital Object Identifier
doi:10.1215/ijm/1258138147

Mathematical Reviews number (MathSciNet)
MR1879231

Zentralblatt MATH identifier
0993.03047

Subjects
Primary: 03C60: Model-theoretic algebra [See also 08C10, 12Lxx, 13L05]
Secondary: 03C45: Classification theory, stability and related concepts [See also 03C48] 12H10: Difference algebra [See also 39Axx] 12L12: Model theory [See also 03C60]

Citation

Chatzidakis, Zoé. Generic automorphisms of separably closed fields. Illinois J. Math. 45 (2001), no. 3, 693--733. doi:10.1215/ijm/1258138147. https://projecteuclid.org/euclid.ijm/1258138147


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