A NIL RADICAL FOR Ω-GROUPS

Original Articles

A NIL RADICAL FOR Ω-GROUPS

Published in: Quaestiones Mathematicae
Volume 12 , issue 3 , 1989 , pages: 231–237
DOI: 10.1080/16073606.1989.9632180
Author(s): G.K. Gerber Dept of Mathematics, South Africa
Keywords: Primary 20N99 , Secondary 16A12 , 16A22 , 08A99 , 17A65
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Abstract

In this paper we define a nil radical for fl-groups which has the property that an ideal P of an fl-group G is a semi-prime ideal if and only if G/P has no non-zero nilpotent ideals. This generalises the case for rings to Ω-groups.
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