Semisimplicity of group rings over ring- On a conjecture of G. Connell
Received:August 24, 1981  
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Zhu Yuansen Hebei Normal University 
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      The semisimpli city problem of some group algebras on a field had been discussed in [1]. Afterwards, G. Connell extended the problem to that on a commutative ring with identity 1 in [2]. In this paper, we study the semisimplicity of group rings over any associative ring with 1 and arrive at the following conclusions.
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