On universal Lie nilpotent associative algebras.

DOI10.1016/j.jalgebra.2008.09.042zbMath1236.16021arXiv0805.1909OpenAlexW2887480196WikidataQ115351328 ScholiaQ115351328MaRDI QIDQ1012584

Xiaoguang Ma, Pavel I. Etingof, John Y. Kim

Publication date: 21 April 2009

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

Full work available at URL: https://arxiv.org/abs/0805.1909

zbMATH Keywords

commutator idealscommutatorsfree algebraslower central seriesLie nilpotent algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Solvable, nilpotent (super)algebras (17B30) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

Identities in group rings, enveloping algebras and Poisson algebras, Lower central series of free algebras in symmetric tensor categories., Products of commutators in a Lie nilpotent associative algebra, Lie structure of truncated symmetric Poisson algebras, Products of several commutators in a Lie nilpotent associative algebra, The additive group of a Lie nilpotent associative ring., On lower central series quotients of finitely generated algebras over \(\mathbb Z\)., Codimension Growth of Strong Lie Nilpotent Associative Algebras, Dual Alternative Algebras in Characteristic Three, The Alternative Operad Is Not Koszul, Noncommutative affine spaces and Lie-complete rings, The torsion subgroup of the additive group of a Lie nilpotent associative ring of class 3., Some products of commutators in an associative ring, Relations in universal Lie nilpotent associative algebras of class 4, Noncommutative Localizations of Lie-Complete Rings

Cites Work

• On the Lie ideals of a ring
• On rings whose associated Lie rings are nilpotent