On a class of preorderings of higher level

DOI10.1007/BF01168508zbMath0537.12015OpenAlexW2094579097MaRDI QIDQ792387

Serban A. Basarab

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/154835

zbMATH Keywords

extension theoryalgebraically maximalcomplete preordering of higher levelvaluation with Archimedean order on residue field

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Valued fields (12J10)

Cites Work

• Fans, real valuations, and hereditarily-Pythagorean fields
• Infinite primes of fields and completions
• Partial orders on a field and valuation rings
• Summen n-ter Potenzen in Körpern.
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