Henselian residually \(p\)-adically closed fields

DOI10.1016/J.JPAA.2006.06.015zbMath1108.03042OpenAlexW2060147189MaRDI QIDQ869218

Nicolas Guzy

Publication date: 26 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.06.015

zbMATH Keywords

Nullstellensatzvalued fieldsring of polynomialsHilbert's seventeenth problem

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05) Model theory of fields (12L12) Valued fields (12J10) Formally (p)-adic fields (12J12)

Cites Work

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• \(p\)-convexly valued rings
• Topological differential fields
• A positivstellensatz for chain-closed fields, \({\mathbb{R}}((t))\) and some related fields
• Formally \(p\)-adic fields
• Substructures and uniform elimination for p-adic fields
• The Nullstellensatz over \(\mathfrak p\)-adically closed fields
• Model theoretic algebra. Selected topics
• \(p\)-adic ideals of \(p\)-rank \(d\) and the \(p\)-adic Nullstellensatz.
• A model complete theory of valued D-fields
• On definable subsets of p-adic fields
• The model theory of ordered differential fields
• 0-D-valued fields

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