Semilocal Group Rings in Characteristic Zero
- 1 October 1976
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 60 (1) , 8-10
- https://doi.org/10.2307/2041099
Abstract
It is shown that if F is a field of characteristic zero and G is a group such that the group ring is semilocal then G must be finite. A generalization to group rings over rings is given.Keywords
This publication has 4 references indexed in Scilit:
- A Problem of Herstein on Group RingsCanadian Mathematical Bulletin, 1974
- On the Group RingCanadian Journal of Mathematics, 1963
- On the semi-simplicity of group algebras.The Michigan Mathematical Journal, 1959
- Tensor products of semiprimary algebrasDuke Mathematical Journal, 1957