The Levitzki Radical for Omega-groups
Publications de l'Institut Mathématique, _N_S_35 (1984) no. 49, p. 49
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The concept locally nilpotent ideal of an $\Omega$-group is
defined. The class of locally nilpotent $\Omega$-groups is a
Kurosh-Amitsur radical class. Furthermore, the Levitzki radical of an
$\Omega$-group is the intersection of all $\Omega$-prime ideals $P$
such that $G/P$ is Levitzki semi-simple.
Classification :
20N99 16A12 16A22 08A99
@article{PIM_1984_N_S_35_49_a5,
author = {A. Buys and G. K. Gerber},
title = {The {Levitzki} {Radical} for {Omega-groups}},
journal = {Publications de l'Institut Math\'ematique},
pages = {49 },
year = {1984},
volume = {_N_S_35},
number = {49},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1984_N_S_35_49_a5/}
}
A. Buys; G. K. Gerber. The Levitzki Radical for Omega-groups. Publications de l'Institut Mathématique, _N_S_35 (1984) no. 49, p. 49 . http://geodesic.mathdoc.fr/item/PIM_1984_N_S_35_49_a5/