Elementary properties of power series fields over finite fields

DOI10.2307/2695043zbMath0992.03046arXivmath/9807186OpenAlexW2152194681MaRDI QIDQ2747716

Franz-Viktor Kuhlmann

Publication date: 14 October 2001

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9807186

zbMATH Keywords

optimal approximationHenselian fieldsspherical completenessvaluation independenceaction of additive polynomialsimmediate valued function fieldindependence of elementary propertieslocal uniformization in positive characteristicmaximal valued fieldspseudo direct sums

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12)

Related Items

The valuation theory of deeply ramified fields and its connection with defect extensions ⋮ The algebra and model theory of tame valued fields ⋮ Defect extensions and a characterization of tame fields ⋮ A classification of Artin-Schreier defect extensions and characterizations of defectless fields ⋮ Characterization of extremal valued fields ⋮ Maps on Ultrametric Spaces, Hensel's Lemma, and Differential Equations Over Valued Fields ⋮ On Galois cohomology of unipotent algebraic groups over local fields ⋮ Selected methods for the classification of cuts, and their applications ⋮ Correction and notes to the paper ``A classification of Artin-Schreier defect extensions and characterizations of defectless fields

Cites Work

• Galois cohomology of additive polynomial and \(n\)-th power mappings of fields
• Additive polynomials
• Note on a result of Krull
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