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Some torsion-free group rings with nilpotent prime radicals

Published online by Cambridge University Press:  09 April 2009

Keng-Teh Tan
Keng-Teh Tan
Affiliation:
Department of Mathematics, University of Malaya, Kuala Lumpur, Malaysia
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Let R be a ring with identity. We will use J(R) and P(R) to denote the Jacobson and prime radicals of R, respectively. If G is a group, the group ring of G over R will be denoted by RG.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 18 , Issue 3 , November 1974 , pp. 372 - 375
Copyright
Copyright © Australian Mathematical Society 1974

References

[1]Amistur, S. A., ‘Radicals of Polynomial Rings’, Can. J. Math. 8 (1956), 355–361.Google Scholar
[2]Herstein, I. N., Noncommutative Rings (The Carus Mathematical Monographs, 1968).Google Scholar
[3]Lambek, J., Lectures on Rings and Modules (Blaisdell, Waltham, 1966).Google Scholar