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Elementary theory of valued fields with a valuation-preserving automorphism

Part of: Connections with logic Model theory

Published online by Cambridge University Press:  01 July 2010

Salih Azgin  and
Lou van den Dries
Salih Azgin
Affiliation:
Department of Mathematics and Statistics, McMaster University, 1280 Main Street, West Hamilton, Ontario L8S 4K1, Canada (sazgin@math.mcmaster.ca)
Lou van den Dries
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA (vddries@math.uiuc.edu)
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Abstract

We consider valued fields with a value-preserving automorphism and improve on model-theoretic results by Bélair, Macintyre and Scanlon on these objects by dropping assumptions on the residue difference field. In the equicharacteristic 0 case we describe the induced structure on the value group and the residue difference field.

Keywords

valued difference fieldsmodel theoryelementary classification

MSC classification

Secondary: 03C60: Model-theoretic algebra 12L12: Model theory
Type
Research Article
Information
Journal of the Institute of Mathematics of Jussieu , Volume 10 , Issue 1 , January 2011 , pp. 1 - 35
Copyright
Copyright © Cambridge University Press 2010

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References

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