The elementary theory of \(\omega\)-free \(Ax\) fields

DOI10.1007/BF01408571zbMath0342.12104MaRDI QIDQ1231942

Moshe Jarden

Publication date: 1976

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142446

Mathematics Subject Classification ID

Decidability and field theory (12L05) Model-theoretic algebra (03C60)

Related Items (9)

Model theory of finite fields and pseudo-finite fields ⋮ Subgroups of free profinite groups and large subfields of Q ⋮ Embedding covers and the theory of Frobenius fields ⋮ Galois stratification over Frobenius fields ⋮ Decidability and undecidability theorems for PAC-fields ⋮ Quantifier elimination on some pseudo-algebraically closed valued fields ⋮ Relative regular closedness and \(\pi\)-valuations ⋮ Model-complete theories of e-free Ax fields ⋮ Properties of forking in ω-free pseudo-algebraically closed fields

Cites Work

• Algebraic extensions of finite corank of Hilbertian fields
• The elementary theory of algebraic fields of finite corank
• Algebraically closed fields with distinguished subfields
• The elementary theory of finite fields
• Solving diophantine problems modulo every prime
• Elementary Statements Over Large Algebraic Fields
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