Proceedings of the American Mathematical Society

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

 

 

Prime von Neumann regular rings and primitive group algebras


Authors: Joe W. Fisher and Robert L. Snider
Journal: Proc. Amer. Math. Soc. 44 (1974), 244-250
MSC: Primary 16A30
MathSciNet review: 0342551
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Abstract: Kaplansky posed the following question: Are prime von Neumann regular rings primitive? We show that with a certain countability condition the answer is affirmative. This is used to simplify and clarify earlier work on the existence of primitive group algebras.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0342551-9
Keywords: Prime von Neumann regular rings, primitive group rings, locally Artinian rings, generalized polynomial identity, locally finite groups
Article copyright: © Copyright 1974 American Mathematical Society