\(p\)-Henselian fields

DOI10.1007/BF02570463zbMath0828.12006MaRDI QIDQ1895731

Jochen Koenigsmann

Publication date: 7 January 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156076

zbMATH Keywords

\(p\)- topology\(p\)-henselian valuationselementary propertyGalois-\(p\)-extension

Mathematics Subject Classification ID

Model theory of fields (12L12) Valued fields (12J10)

Related Items

On the quantifier complexity of definable canonical Henselian valuations, Definable V-topologies, Henselianity and NIP, Definable Valuations Induced by Definable Subgroups, Recent progress on definability of Henselian valuations, Abelian subgroups of pro-$p$ Galois groups, Definable valuations induced by multiplicative subgroups and NIP fields, A CONJECTURAL CLASSIFICATION OF STRONGLY DEPENDENT FIELDS, Uniform definability of henselian valuation rings in the Macintyre language:, DEFINABLE HENSELIAN VALUATIONS, Uniformly defining \(p\)-Henselian valuations

Cites Work

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• p-Henselian fields: K-theory, Galois cohomology, and graded Witt rings
• Valuation Rings and Rigid Elements in Fields
• A New Construction of Noncrossed Product Algebras
• From p-rigid elements to valuations (with a Galois-characterization of p-adic fields).