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On the automorphisms of the group ring of a finitely generated free abelian group

Published online by Cambridge University Press:  20 January 2009

M. M. Parmenter
M. M. Parmenter
Affiliation:
Department of Mathematics and StatisticsMemorial University of NewfoundlandSt John'sNewfoundlandCanadaA1B 3X7
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Let R be an associative ring with 1 and G a finitely generated torsion-free abelian group. In this note, we classify all R-automorphisms of the group ring RG. The special case where G is infinite cyclic was previously settled in [8], and our interest in this problem was rekindled by the recent paper of Mehrvarz and Wallace [7], who carried out the classification in the case where R contains a nilpotent prime ideal.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 1 , February 1988 , pp. 71 - 75
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

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