Complementation in the Group of Units of a Ring
Clare Coleman and David Easdown
Research Report 99-18
Date: 20 August 1999
By adding 1 to elements of the nilradical and Jacobson radical of a ring with
identity, normal subgroups of the group of units are obtained. In this paper
we record observations about complementation of these subgroups in the group
of units of a ring, identifying large classes where complementation takes
place and some examples where it fails.
nilradical. Jacobson radical. complementation. group of units of a ring.
AMS Subject Classification (1991)
Secondary: 16N20, 60N40
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Sydney Mathematics and Statistics