PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 35(49), pp. 49--51 (1984)
THE LEVITZKI RADICAL FOR $\Omega$-GROUPS
A. Buys and G. K. GerberDepartment of Matematics, University of Port Elizabeth 6000 Port Elizabeth, South Africa
Abstract: 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 (MSC2000): 20N99; 16A12, 16A22, 08A99
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