On One-sided Lie Nilpotent Ideals of Associative Rings
نویسنده
چکیده
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 [. . . [[r1, r2], . . .], rn−1], rn] are also studied.
منابع مشابه
A Note on Chain Conditions in Nilpotent Rings and Groups
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