Rational separability over a global field

DOI10.1016/0168-0072(95)00023-2zbMath0857.12004OpenAlexW2080103284MaRDI QIDQ1919540

Alexandra Shlapentokh

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1016/0168-0072(95)00023-2

zbMATH Keywords

rational functionsalgebraic function fieldtotal recursive functionsTuring reduciblefinitely generated fieldrational separabilityweak presentations

Mathematics Subject Classification ID

Decidability and field theory (12L05) Recursive functions and relations, subrecursive hierarchies (03D20) Theory of numerations, effectively presented structures (03D45)

Related Items (4)

Rational separability of the integral closure ⋮ Weak presentations of non-finitely generated fields ⋮ DIOPHANTINE DEFINABILITY OVER HOLOMORPHY RINGS OF ALGEBRAIC FUNCTION FIELDS WITH INFINITE NUMBER OF PRIMES ALLOWED AS POLES ⋮ Generalised weak presentations

Cites Work

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• Algebraic and Turing separability of rings
• Non-standard extensions of weak presentations
• Diophantine equivalence and countable rings
• Weak presentations of computable fields
• Computable Algebra, General Theory and Theory of Computable Fields

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