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A note on prime radicals of certain group rings

Published online by Cambridge University Press:  09 April 2009

Keng-Teh Tan
Keng-Teh Tan
Affiliation:
Department of Mathematics University of MalayaKuala Lumpur, Malaysia.
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Let R be a ring (with identity) and P(R) denote its prime radical. R is called semi-prime when P(R) = (0). 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 20 , Issue 3 , November 1975 , pp. 305 - 306
Copyright
Copyright © Australian Mathematical Society 1975

References

Lambek, J. (1968), Lectures on Rings and Modules (Blaisdell, Waltham, 1966).Google Scholar
Passman, D. S. (1962), ‘Nil ideals in group rings’, Mich. Math. J. 9, 375–384.CrossRefGoogle Scholar
Tan, K. T. (1974), ‘Some torsion-free group rings with nilpotent prime radicals’, J. Austral. Math. Soc. 18, 372–375.CrossRefGoogle Scholar