PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 35(49), pp. 4951 (1984) 

THE LEVITZKI RADICAL FOR $\Omega$GROUPSA. Buys and G. K. GerberDepartment of Matematics, University of Port Elizabeth 6000 Port Elizabeth, South AfricaAbstract: The concept locally nilpotent ideal of an $\Omega$group is defined. The class of locally nilpotent $\Omega$groups is a KuroshAmitsur 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 semisimple. Classification (MSC2000): 20N99; 16A12, 16A22, 08A99 Full text of the article:
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