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Isomorphic Group Rings

Published online by Cambridge University Press:  20 November 2018

M. M. Parmenter
M. M. Parmenter*
Affiliation:
Memorial University of Newfoundland, St. John's, Newfoundland, Canada
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Let R and S be rings with 1, G a group and RG and SG the corresponding group rings. In this paper, we study the problem of when RG≃SG implies R≃S. This problem was previously investigated in [8] for the case where G is assumed to be infinite cyclic. The corresponding question for polynomial rings, namely, when does R[x]≃S[x] imply R≃S, has been considered by several authors, particularly Coleman and Enochs [3].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 4 , October 1975 , pp. 567 - 576
Copyright
Copyright © Canadian Mathematical Society 1975

References

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