Maximal quotient rings of prime group algebras. II Uniform right ideals
- 1 August 1977
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 24 (3) , 339-349
- https://doi.org/10.1017/s144678870002036x
Abstract
Suppose KG is a prime nonsingular group algebra with uniform right ideals. We show that G has no nontrivial locally finite normal subgroups. If G is soluble or residually finite, or if K has zero characteristic and G is linear, then the maximal right quotient ring of KG is simple Artinian.Keywords
This publication has 4 references indexed in Scilit:
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- Prime von Neumann Regular Rings and Primitive Group AlgebrasProceedings of the American Mathematical Society, 1974
- A Note on Zero Divisors in Group-RingsProceedings of the American Mathematical Society, 1972
- Maximal quotient ringsPublished by Springer Nature ,1967