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On the Group Ring

Published online by Cambridge University Press:  20 November 2018

Ian G. Connell
Ian G. Connell*
Affiliation:
McGill University, Montreal, Quebec
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Let R be the discrete group ring of the group G over the ring A. In this paper we attempt to find necessary and sufficient conditions on G and A so that R will have some standard ring-theoretic property ; among the properties considered are those of being artinian, regular, self-injective, and semi-prime.

The contents of this paper form essentially the author's doctoral thesis. The author would like to thank his supervisor Dr. J. Lambek for his generous encouragement and continued interest.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 650 - 685
Copyright
Copyright © Canadian Mathematical Society 1963

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