Proceedings of the Edinburgh Mathematical Society (Series 2)
- Proceedings of the Edinburgh Mathematical Society (Series 2) / Volume 31 / Issue 01 / February 1988, pp 71-75
- Copyright © Edinburgh Mathematical Society 1988
- DOI: http://dx.doi.org/10.1017/S0013091500006581 (About DOI), Published online: 20 January 2009
Research Article
On the automorphisms of the group ring of a finitely generated free abelian group
M. M. Parmentera1*
a1 Department of Mathematics and Statistics Memorial University of Newfoundland St John's Newfoundland Canada A1B 3X7
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.
(Received May 14 1986)
Footnotes
* This work was supported in part by NSERC grant A-8775.
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