On the model companion of the theory of e-fold ordered fields

DOI10.1007/BF02392972zbMath0518.12018MaRDI QIDQ1053753

Moshe Jarden

Publication date: 1983

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

zbMATH Keywords

decidabilitypseudo real closed fieldse-fold ordered fieldsfinite corankGeyer-fieldprc-fieldsvan den Dries-field

Mathematics Subject Classification ID

Decidability and field theory (12L05) Model-theoretic algebra (03C60) Separable extensions, Galois theory (12F10) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Decidability of theories and sets of sentences (03B25) Categoricity and completeness of theories (03C35)

Related Items (10)

Imaginaries in bounded pseudo real closed fields ⋮ Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\) ⋮ The algebraic nature of the elementary theory of PRC fields ⋮ Topological differential fields ⋮ On the model companion for \(e\)-fold \(p\)-adically valued fields ⋮ Definability of types and VC density in differential topological fields ⋮ RRC-fields with small absolute Galois groups ⋮ Unnamed Item ⋮ On finite intersections of Henselian valued fields ⋮ Galois stratification over \(e\)-fold ordered Frobenius fields

Cites Work

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• The elementary theory of large e-fold ordered fields
• Decidable theories of preordered fields
• The elementary theory of algebraic fields of finite corank
• Galois groups of intersections of local fields
• Pseudo algebraically closed fields with non-archimedean real valuations
• Elementare Aussagen zur Arithmetik und Galoistheorie von Funktionenkörpern.
• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields

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