The elementary theory of large e-fold ordered fields

DOI10.1007/BF02392355zbMath0513.12020OpenAlexW45401496MaRDI QIDQ1050407

Moshe Jarden

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02392355

zbMATH Keywords

elementary equivalencepseudo real closed fieldsAx fieldsdecidability of theoryGeyer fieldsHilbert fieldsmodelcompanion of e- fold ordered fields

Mathematics Subject Classification ID

Decidability (number-theoretic aspects) (11U05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Decidability of theories and sets of sentences (03B25) Ordered fields (12J15) General field theory (12E99) Other classical first-order model theory (03C68)

Related Items (11)

Involutory groups ⋮ Imaginaries in bounded pseudo real closed fields ⋮ The elementary theory of free pseudo p-adically closed fields of finite corank ⋮ Pseudo real closed fields, pseudo \(p\)-adically closed fields and \(\mathrm{NTP}_{2}\) ⋮ The algebraic nature of the elementary theory of PRC fields ⋮ Transfer principles for pseudo real closed e-fold ordered fields ⋮ RRC-fields with small absolute Galois groups ⋮ Unnamed Item ⋮ On the model companion of the theory of e-fold ordered fields ⋮ The absolute Galois group of a Hilbertian PRC field ⋮ Galois stratification over \(e\)-fold ordered Frobenius fields

Cites Work

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• Algebraic extensions of finite corank of Hilbertian fields
• The elementary theory of algebraic fields of finite corank
• Galois groups of intersections of local fields
• Model theory
• Pseudo algebraically closed fields with non-archimedean real valuations
• Elementare Aussagen zur Arithmetik und Galoistheorie von Funktionenkörpern.
• Stable Extensions and Fields with the Global Density Property
• Approximation Theory and the Rank of Abelian Varieties Over Large Algebraic Fields
• Elementary Statements Over Large Algebraic Fields

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