Sums of mixed powers in fields and orderings of prescribed level

DOI10.1007/BF02571811zbMath0764.12003MaRDI QIDQ1202202

Ralph Berr

Publication date: 2 February 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174416

zbMATH Keywords

orderingformally real fieldorderings of higher leveltotal ordersordered fieldschain signatureschain modulesHilbert identitiesidentity for sums of mixed powersmaximal preorderingsorder fanssums of mixed powers of fieldsvaluation fan

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Ordered fields (12J15) Forms and linear algebraic groups (11E99)

Related Items

Null- and Positivstellensätze for generalized real closed fields, Positivity and convexity in rings of fractions, Powers of totally positive subgroups of fields, Valuation fans and residually closed Henselian fields

Cites Work

• Unnamed Item
• Fans, real valuations, and hereditarily-Pythagorean fields
• Chain signatures and real closures.
• Local global theorems for diagonal forms of higher degree.
• Partial orders on a field and valuation rings
• Summen n-ter Potenzen in Körpern.
• On a real places of a field and their holomorphy ring