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Algebraic Ideals in Group Rings and Tensor Products

Published online by Cambridge University Press:  20 November 2018

John Lawrence
John Lawrence*
Affiliation:
Department of Mathematics University of Waterloo Waterloo, Ontario N2L 3G1
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Abstract

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It is shown that if a solvable group is not locally finite, then the group algebra over a field of characterisitc 0 has no nonzero algebraic ideals.

Keywords

16A2720F16.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 1 , 01 March 1992 , pp. 99 - 102
Copyright
Copyright © Canadian Mathematical Society 1992

References

1. Amitsur, S. A., On the semisimplicity of group algebras, Michigan Math. J. 6 (1959), 251–253.Google Scholar
2. Hampton, C. R. and Passman, D. S., On the semisimplicity of group rings of solvable groups, Trans. Amer. Math. Soc. 173 (1972), 289–301.Google Scholar
3. Herstein, I. N., Notes from a Ring Theory Conference, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, Number 9, (1971).Google Scholar
4. Lawrence, J., The Jacobson radical of tensor products, Quarterly J. Math., Oxford (2), 42(1991),203–208.Google Scholar
5. Passman, D. S., The Algebraic Structure of Group Rings, John Wiley and Sons (1977).Google Scholar
6. weedier, M. S., A units theorem applied to Hopfalgebras and Amitsur cohomology, Amer. J. Math 92, (1970), 259–271.Google Scholar