On one-sided Lie nilpotent ideals of associative rings - Mathematics > Rings and AlgebrasReport as inadecuate




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Abstract: We prove that a Lie nilpotent one-sided ideal of an associative ring $R$ iscontained in a Lie solvable two-sided ideal of $R$. An estimation of derivedlength of such Lie solvable ideal is obtained depending on the class of Lienilpotency of the Lie nilpotent one-sided ideal of $R.$ One-sided Lie nilpotentideals contained in ideals generated by commutators of the form $

. r 1,r {2},

. , r {n-1}, r {n}$ are also studied.



Author: V.S.Luchko, A.P.Petravchuk

Source: https://arxiv.org/







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