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On Semi-Perfect Group Rings

Published online by Cambridge University Press:  20 November 2018

W.D. Burgess
W.D. Burgess*
Affiliation:
University of Ottawa
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In what follows the notation and terminology of [7] are used and all rings are assumed to have a unity element.

The purpose of this note is to give some partial answers to the question: under which conditions on a ring A and a group G is the group ring AG semi-perfect?

For the convenience of the reader a few definitions and results will be reviewed. A ring R is called semi-perfect if R/RadR (Jacobson radical) is completely reducible and idempotents can be lifted modulo RadR (i.e., if x is an idempotent of R/RadR there is an idempotent e of R so that e + RadR = x).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 5 , October 1969 , pp. 645 - 652
Copyright
Copyright © Canadian Mathematical Society 1969

References

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