Sums of powers in function fields

DOI10.1016/S0022-4049(00)00113-4zbMath0982.12001MaRDI QIDQ5939621

Ralph Berr, Françoise Delon

Publication date: 25 March 2002

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

zbMATH Keywords

\(p\)-real closed field\(p\)-real spectrumaffine irreducible varietyformally real fieldHilbert's 17th problemindependence-conjectureorderings of higher levelsums of \(2n\)th powers

Mathematics Subject Classification ID

Real algebraic sets (14P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Varieties and morphisms (14A10) Ordered fields (12J15)

Cites Work

• Null- and Positivstellensätze for generalized real closed fields
• Chain signatures and real closures.
• A Characterization of Preordered Fields with the Weak Hilbert Property
• The_p-rspectrum of a commutative ring
• Summen n-ter Potenzen in Körpern.
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