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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Maximal quotient rings of prime group algebras

Authors: John Hannah and K. C. O’Meara
Journal: Proc. Amer. Math. Soc. 65 (1977), 1-7
MSC: Primary 16A26; Secondary 16A08
MathSciNet review: 0573039
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Abstract: It is shown that a prime nonsingular group algebra KG, where G is a group whose conjugacy classes are countable, has for its maximal right quotient ring either a full linear ring or a simple directly infinite ring. In the case where G is also locally finite only the second type can occur.

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Keywords: Prime nonsingular group algebras, simple maximal right quotient rings, locally finite groups, countable conjugacy classes, directly finite, countable-dimensional algebras
Article copyright: © Copyright 1977 American Mathematical Society

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