Powers of totally positive subgroups of fields

DOI10.1016/j.jalgebra.2008.06.037zbMath1152.12001OpenAlexW2074430575MaRDI QIDQ958519

Ido Efrat

Publication date: 5 December 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.06.037

zbMATH Keywords

valuationsWaring problempowersreal holomorphy ringPythagoras numbers

Mathematics Subject Classification ID

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

Cites Work

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• Zum Darstellungssatz von Kadison-Dubois
• Extended Artin-Schreier theory of fields
• On the structure of Pythagorean fields
• Sums of mixed powers in fields and orderings of prescribed level
• Valuation fans and residually closed Henselian fields
• A general representation theorem for partially ordered commutative rings
• Partial orders on a field and valuation rings
• Sums of even powers of real linear forms
• Summen n-ter Potenzen in Körpern.
• Hilbert's 17th Problem and the Champagne Problem
• Chains of higher level orderings
• Waring's Problem

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