Geodesic
On one-sided Lie nilpotent ideals of associative rings
Algebra and discrete mathematics, no. 4 (2007), pp. 102-107

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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 nilpotent ideals contained in ideals generated by commutators of the form $[\ldots[ [r_1,\,r_{2}],\ldots],\,r_{n-1}],\,r_{n}]$ are also studied.
Keywords: associative ring, one-sided ideal, Lie nilpotent ideal, derived length. 
@article{ADM_2007_4_a8,
     author = {Victoriya S. Luchko and Anatoliy P. Petravchuk},
     title = {On one-sided {Lie} nilpotent ideals of associative rings},
     journal = {Algebra and discrete mathematics},
     pages = {102--107},
     publisher = {mathdoc},
     number = {4},
     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2007_4_a8/}
}
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Victoriya S. Luchko; Anatoliy P. Petravchuk. On one-sided Lie nilpotent ideals of associative rings. Algebra and discrete mathematics, no. 4 (2007), pp. 102-107. http://geodesic.mathdoc.fr/item/ADM_2007_4_a8/