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Complementation in the group of units of a ring
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 62 , Issue 2 , October 2000 , pp. 183 - 192
- Copyright
- Copyright © Australian Mathematical Society 2000
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