Algebraic elements in division rings

DOI10.1007/BF01323978zbMath0854.16013OpenAlexW151158471MaRDI QIDQ1924610

Joachim Graeter

Publication date: 20 January 1997

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01323978

zbMATH Keywords

valuation theoryordered division ringsalgebraic elements of division ringsuniversal envelopes of Lie algebras

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Universal enveloping (super)algebras (17B35) Infinite-dimensional and general division rings (16K40) Topological and ordered rings and modules (16W80)

Related Items (2)

An Involutorial Version of a Theorem of Gräter ⋮ Residually *-Abelian Valuation with Residue Characteristic Not 2

Cites Work

• Unnamed Item
• The residual nilpotence of the multiplicative group of a skew field generated by universal enveloping algebras
• PI-subrings and algebraic elements in enveloping algebras and their fields of fractions
• Central extensions of ordered skew fields
• Valuation methods in division rings
• Valuation theory
• On the Embedding of Rings in Skew Fields
• Extending Valuations to Finite Dimensional Division Algebras
• On ordered algebras

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