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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Semilocal group rings in characteristic zero


Authors: John Lawrence and Sheila M. Woods
Journal: Proc. Amer. Math. Soc. 60 (1976), 8-10
MSC: Primary 16A26
MathSciNet review: 0414617
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Abstract: It is shown that if F is a field of characteristic zero and G is a group such that the group ring $ F[G]$ is semilocal then G must be finite. A generalization to group rings over rings is given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0414617-8
PII: S 0002-9939(1976)0414617-8
Keywords: Group ring, semilocal ring
Article copyright: © Copyright 1976 American Mathematical Society