Fields with automorphism and valuation

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Beyarslan Ö., Hoffmann D. M., Onay G., Pierce D.

Archive for Mathematical Logic, vol.59, no.7-8, pp.997-1008, 2020 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 59 Issue: 7-8
  • Publication Date: 2020
  • Doi Number: 10.1007/s00153-020-00728-5
  • Journal Name: Archive for Mathematical Logic
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, MathSciNet, Philosopher's Index, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.997-1008
  • Keywords: Difference fields, Model companion, Valued fields
  • Open Archive Collection: AVESIS Open Access Collection
  • Galatasaray University Affiliated: No

Abstract

The model companion of the theory of fields with valuation and automorphism (of the pure field structure) exists. A counterexample shows that the theory of models of ACFA equipped with valuation is not this model companion.