Central Extensions of n-Ordered Division Rings

DOI10.1081/AGB-200066162zbMath1086.06016MaRDI QIDQ5704513

Igor Klep, Dejan Velušček

Publication date: 15 November 2005

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

zbMATH Keywords

central extensionsvaluationsorderings of higher leveldivision ringssignatures

Mathematics Subject Classification ID

Infinite-dimensional and general division rings (16K40) Ordered rings, algebras, modules (06F25)

Related Items (1)

Central extensions of \(*\)-ordered skew fields

Cites Work

• Higher level reduced Witt rings of skew fields
• Holomorphy rings and higher level orders on skew fields
• Reduced forms and reduced Witt rings of higher level
• Extended Artin-Schreier theory of fields
• Signatures of higher level on rings with many units
• The Henselization of a valued division algebra
• Witt rings and orderings of skew fields
• Central extensions of ordered skew fields
• \(n\)-real valuations and the higher level version of the Krull-Baer theorem.
• Construction of the reals via ultrapowers
• Some model theory for almost real closed fields
• Orderings of higher level on noetherian rings

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