On rings admitting orderings and 2-primary chains of orderings of higher level

DOI10.1007/BF01168367zbMath0689.12016OpenAlexW1981629422MaRDI QIDQ581597

Eberhard Becker, Danielle Gondard

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155426

zbMATH Keywords

orderings of higher levelNullstellensatz2-primary chainsHenselian valuationrings with orderings

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Ordered rings (13J25) Real algebraic and real-analytic geometry (14Pxx)

Related Items (6)

Orderings of higher level on noetherian rings ⋮ Null- and Positivstellensätze for generalized real closed fields ⋮ Positivity and convexity in rings of fractions ⋮ Orderings and signatures of higher level on multirings and hyperfields ⋮ The intersection theorem for orderings of higher level in rings ⋮ Higher level orderings on modules

Cites Work

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• Extended Artin-Schreier theory of fields
• Model theoretic algebra. Selected topics
• Chain signatures and real closures.
• The model theory of generalized real closed fields.
• La topologie du spectre réel
• Nullstellensätze — A Model Theoretic Framework
• Summen n-ter Potenzen in Körpern.
• Chains of higher level orderings

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