On a generalization of Albert's theorem

DOI10.1007/BF02764778zbMath0778.16007MaRDI QIDQ1813680

Ka Hin Leung

Publication date: 25 June 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

centervaluationmaximal subfieldordered division ring

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Infinite-dimensional and general division rings (16K40) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Skew fields, division rings (12E15)

Related Items (2)

Division algebras with left algebraic commutators ⋮ Central extensions of ordered skew fields

Cites Work

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• Division rings containing a real closed field
• Lokal-global Prinzipien für Anordnungen bewerteter Schiefkörper
• A general theory of Vandermonde matrices
• A construction of an ordered division ring with a rank one valuation
• On algebraic extensions of subrings in an ordered ring
• The similarity reduction of matrices over a skew field
• Totally Ramified Valuations on Finite-Dimensional Division Algebras
• A Property of Ordered Rings
• Positive Semidefinite Forms Over Ordered Skew Fields
• On ordered algebras

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