A positivstellensatz for chain-closed fields, \({\mathbb{R}}((t))\) and some related fields

DOI10.1007/BF01246741zbMath0726.12006MaRDI QIDQ802672

Rafel Farré

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

model-completenessordered fieldrational fractionsArtin-Schreier positivstellensatzAx-Kochen-Ershov Theoremchain closed fields

Mathematics Subject Classification ID

Ordered fields (12J15) Model theory of fields (12L12)

Related Items (3)

Henselian residually \(p\)-adically closed fields ⋮ Null- and Positivstellensätze for generalized real closed fields ⋮ 0-D-valued fields

Cites Work

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• Valuation theory
• Elementary Properties of Ordered Abelian Groups
• Chain signatures and real closures.
• The model theory of generalized real closed fields.
• A nullstellensatz for ℝ((t))
• XVIIeme Probleme de Hilbert sur les Corps Chaine-Clos
• The model theory of chain-closed fields
• Chains of higher level orderings

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