Cohn's embedding of an enveloping algebra into a division ring

DOI10.1007/BF01056944zbMath0784.16010MaRDI QIDQ5905625

Bertram Arthur Frederick Wehrfritz

Publication date: 1 April 1993

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Lie algebrasassociated graded ringdivision ringuniversal associative envelopesOre domaintotally transcendentalfiltered ring

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) Graded rings and modules (associative rings and algebras) (16W50)

Related Items (2)

Generalized Engel elements of groups ⋮ Hypercentral unipotent finitary skew linear groups

Cites Work

• 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
• On the Embedding of Rings in Skew Fields
• Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras

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