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Some Results on Semi-Perfect Group Rings

Published online by Cambridge University Press:  20 November 2018

S. M. Woods
S. M. Woods*
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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The aim of this paper is to find necessary and sufficient conditions on a group G and a ring A for the group ring AG to be semi-perfect. A complete answer is given in the commutative case, in terms of the polynomial ring A[X] (Theorem 5.8). In the general case examples are given which indicate a very strong interaction between the properties of A and those of G. Partial answers to the question are given in Theorem 3.2, Proposition 4.2 and Corollary 4.3.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 26 , Issue 1 , February 1974 , pp. 121 - 129
Copyright
Copyright © Canadian Mathematical Society 1974

References

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