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On one-sided Lie nilpotent ideals of associative rings

We 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 nilpote...

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Bibliographic Details
Main Authors: Luchko, V.S., Petravchuk, A.P.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2007
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/152385
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