HIGHER PRODUCT PYTHAGORAS NUMBERS OF SKEW FIELDS

DOI10.1142/S1793557110000131zbMath1195.12003OpenAlexW2066294744MaRDI QIDQ5306233

Dejan Velušček

Publication date: 8 April 2010

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557110000131

zbMATH Keywords

skew fieldHensel's lemmaultrametric spacegeneralized Laurent seriesproduct levelproduct Pythagoras numberquasi Henselian skew field

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Skew fields, division rings (12E15)

Cites Work

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• Higher level reduced Witt rings of skew fields
• Holomorphy rings and higher level orders on skew fields
• The Banach fixed point theorem for ultrametric spaces
• Fields: Algebraically closed and others
• \(n\)-real valuations and the higher level version of the Krull-Baer theorem.
• HIGHER PRODUCT LEVELS OF NONCOMMUTATIVE RINGS
• Pythagoras numbers of fields

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