GANZSTELLENSÄTZE IN THEORIES OF VALUED FIELDS

DOI10.1142/S0219061308000695zbMath1232.12007MaRDI QIDQ3396194

Deirdre Haskell, Yoav Yaffe

Publication date: 16 September 2009

Published in: Journal of Mathematical Logic (Search for Journal in Brave)

zbMATH Keywords

algebraically closed valued fieldsreal closed valued fieldsanalogue of Hilbert's seventeenth problem for functions over a valued fieldmodel complete theories of difference and differential valued fields

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Model theory of fields (12L12) Valued fields (12J10)

Related Items (2)

A Ganzstellensatz for Semialgebraic Sets and a Boundedness Criterion for Rational Functions ⋮ Approximation for Frobenius algebraic equations in Witt vectors

Cites Work

• Complete theories
• Real closed rings. II. Model theory
• Formally \(p\)-adic fields
• An introduction to real algebra
• Integral-valued rational functions on valued fields
• Model theoretic algebra. Selected topics
• Integer-valued difference rational functions over Witt vectors
• A model complete theory of valued D-fields
• REAL CLOSED RINGS AND ORDERED VALUATION RING

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