Model theory of fields: An application to positive semidefinite polynomials

DOI10.24033/msmf.312zbMath0577.12018OpenAlexW2584126207MaRDI QIDQ3698900

Alexander Prestel

Publication date: 1984

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1984_2_16__53_0

zbMATH Keywords

numbersordering of higher levelreal closed fieldmodel completenessrational function fieldnon-standard

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Model theory of fields (12L12) Nonstandard arithmetic and field theory (12L15)

Related Items (2)

Prime divisors on real varieties and valuation theory ⋮ An elementary based sufficient condition for sums of \(2m\)th powers of polynomials over non-archimedean real closed fields

Cites Work

• Valuation theory
• On places of algebraic function fields.
• Summen n-ter Potenzen in Körpern.
• Sommes de puissances d-ièmes dans un anneau commutatif
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Model theory of fields: An application to positive semidefinite polynomials