On the ring of quotients of a group ring
Author:
D. S. Passman
Journal:
Proc. Amer. Math. Soc. 33 (1972), 221-225
MSC:
Primary 16A08; Secondary 16A26
DOI:
https://doi.org/10.1090/S0002-9939-1972-0299634-X
MathSciNet review:
0299634
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper the following extension of a result of Martha Smith is proved. Theorem. Let $K[G]$ be a group ring which is an order in a ring Q. Then the center of $K[G]$ is an order in the center of Q.
- Donald S. Passman, Infinite group rings, Marcel Dekker, Inc., New York, 1971. Pure and Applied Mathematics, 6. MR 0314951
- Martha Smith, Group algebras, J. Algebra 18 (1971), 477–499. MR 277625, DOI https://doi.org/10.1016/0021-8693%2871%2990078-0
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Keywords:
Group ring,
order
Article copyright:
© Copyright 1972
American Mathematical Society
