Prime von Neumann regular rings and primitive group algebras

Fisher, Joe W.; Snider, Robert L.

doi:10.1090/S0002-9939-1974-0342551-9

Prime von Neumann regular rings and primitive group algebras
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by Joe W. Fisher and Robert L. Snider

Proc. Amer. Math. Soc. 44 (1974), 244-250

DOI: https://doi.org/10.1090/S0002-9939-1974-0342551-9

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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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