On one-sided Lie nilpotent ideals of associative rings

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dc.creatorLuchko, V. S.
dc.creatorPetravchuk, A. P.
dc.date2008-03-06
dc.date.accessioned2026-07-07T09:25:17Z
dc.date.available2026-07-07T09:25:17Z
dc.descriptionWe prove that a Lie nilpotent one-sided ideal of an associative ring $R$ is contained in a Lie solvable two-sided ideal of $R$. An estimation of derived length of such Lie solvable ideal is obtained depending on the class of Lie nilpotency of the Lie nilpotent one-sided ideal of $R.$ One-sided Lie nilpotent ideals contained in ideals generated by commutators of the form $[... [ [r_1, r_{2}], ... ], r_{n-1}], r_{n}]$ are also studied.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/0803.0968
dc.identifierhttp://arxiv.org/abs/0803.0968
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156355
dc.subjectRings and Algebras
dc.subject16D70
dc.titleOn one-sided Lie nilpotent ideals of associative rings
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