Abstract
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).
Publisher
Canadian Mathematical Society
Cited by
8 articles.
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1. Perfect and semiperfect restricted enveloping algebras;Journal of Algebra;2017-02
2. On the Uniqueness of the Coefficient Ring in a Group Ring;Canadian Journal of Mathematics;1983-08-01
3. Group rings;Journal of Soviet Mathematics;1975-07
4. Some Results on Semi-Perfect Group Rings;Canadian Journal of Mathematics;1974-02
5. Sur Les Anneaux de Groupes Semi-Parfaits;Canadian Journal of Mathematics;1973-10