Maximal quotient rings of prime group algebras. II Uniform right ideals

Author:

Hannah John

Abstract

AbstractSuppose 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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2. ON PRIME RINGS AND THE RADICALS ASSOCIATED WITH THEIR DEGREES OF PRIMENESS;Quaestiones Mathematicae;1995-10

3. Modules;Journal of Soviet Mathematics;1983

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