On the Levitzki Radical
Canadian mathematical bulletin, Tome 17 (1974) no. 1, pp. 5-10
Voir la notice de l'article provenant de la source Cambridge
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
@article{10_4153_CMB_1974_002_6,
author = {Anderson, Tim},
title = {On the {Levitzki} {Radical}},
journal = {Canadian mathematical bulletin},
pages = {5--10},
year = {1974},
volume = {17},
number = {1},
doi = {10.4153/CMB-1974-002-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-002-6/}
}
Cité par Sources :