Geodesic
On Semi-Perfect Group Rings
Canadian mathematical bulletin, Tome 12 (1969) no. 5, pp. 645-652

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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). 
Burgess, W.D. On Semi-Perfect Group Rings. Canadian mathematical bulletin, Tome 12 (1969) no. 5, pp. 645-652. doi: 10.4153/CMB-1969-083-9
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     title = {On {Semi-Perfect} {Group} {Rings}},
     journal = {Canadian mathematical bulletin},
     pages = {645--652},
     year = {1969},
     volume = {12},
     number = {5},
     doi = {10.4153/CMB-1969-083-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-083-9/}
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