Lie ideals closed under non-lie polynomials

DOI10.1080/00927879408825124zbMath0815.17009OpenAlexW1965853031MaRDI QIDQ4310004

John Magnus

Publication date: 9 July 1995

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

Full work available at URL: https://doi.org/10.1080/00927879408825124

zbMATH Keywords

free Lie algebraembeddinginvolution\(T\)-idealsspecial Lie algebra\(n\)-tadseater idealhef-algebraheffalump-algebraLie algebra of skew typeLie algebra of skew\('\)-typeLie division algebraNo-eaters criterionnon-Lie polynomial

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Identities, free Lie (super)algebras (17B01) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

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• Infinite dimensional Lie algebras. An introduction
• The structure of strongly prime quadratic Jordan algebras
• On a class of simple rings
• Simple rings without zero‐divisors, and Lie division rings
• Triad-eaters in lie algebras
• On defining relations of certain infinite-dimensional Lie algebras
• MacDonald Identities and Euclidean Lie Algebras
• Isomorphisms and Automorphisms of Universal Heffalump Lie Algebras
• A Basis for Free Lie Rings and Higher Commutators in Free Groups

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