On the Levitzki Radical
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 5-10

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The Levitzki radical, which is fundamental in the study of algebras satisfying a polynomial identity, has been shown to exist in the varieties of alternative and Jordan algebras (see Zhevlakov [8], Zwier [9], and Tsai [7]— for an important application of this radical to alternative algebras satisfying a polynomial identity, see Slater [6]). In fact, Hartley [4] even investigated local nilpotence for Lie algebras, though this property can not be radical in the sense of Kurosh-Amitsur [3] for these algebras.
Anderson, Tim. On the Levitzki Radical. Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 5-10. doi: 10.4153/CMB-1974-002-6
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     title = {On the {Levitzki} {Radical}},
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