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Complementation in the group of units of matrix rings
Published online by Cambridge University Press: 17 April 2009
Extract
Let R be a ring with 1 and (R) its Jacobson radical. Then 1 + (R) is a normal subgroup of the group of units, G(R). The existence of a complement to this subgroup was explored in a paper by Coleman and Easdown; in particular the ring R = Matn(ℤpk) was considered. We prove the remaining cases to determine for which n, P and k a complement exists in this ring.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 70 , Issue 2 , October 2004 , pp. 223 - 227
- Copyright
- Copyright © Australian Mathematical Society 2004
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