On the Group Ring
- 1 January 1963
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 15, 650-685
- https://doi.org/10.4153/cjm-1963-067-0
Abstract
LetRbe the discrete group ring of the groupGover the ringA. In this paper we attempt to find necessary and sufficient conditions onGandAso thatRwill 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.Keywords
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