Abstract
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.
Publisher
Canadian Mathematical Society
Cited by
6 articles.
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1. Bibliography;Pure and Applied Mathematics;1982
2. Nonassociative rings;Journal of Soviet Mathematics;1982-01
3. Radical properties defined locally by polynomial identities I;Journal of the Australian Mathematical Society;1979-05
4. Semi-simple classes in a variety satisfying an Andrunakievich Lemma;Bulletin of the Australian Mathematical Society;1978-04
5. A Classification of 2-Varieties;Canadian Journal of Mathematics;1976-04-01