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-si...

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Bibliographic Details
Date:2018
Main Authors: Luchko, Victoriya S., Petravchuk, Anatoliy P.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/871
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics