Elementary theory of valued fields with a valuation-preserving automorphism

Salih Azgin, Lou Van Den Dries

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)1-35
Number of pages35
JournalJournal of the Institute of Mathematics of Jussieu
Volume10
Issue number1
DOIs
StatePublished - Jan 1 2011

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Valued Fields
Automorphism
Valuation
Model
Object

Keywords

  • elementary classification
  • model theory
  • valued difference fields

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Elementary theory of valued fields with a valuation-preserving automorphism. / Azgin, Salih; Van Den Dries, Lou.

In: Journal of the Institute of Mathematics of Jussieu, Vol. 10, No. 1, 01.01.2011, p. 1-35.

Research output: Contribution to journalArticle

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