Prime von Neumann regular rings and primitive group algebras

Author:

Fisher Joe W.,Snider Robert L.

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference11 articles.

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3. On the group ring;Connell, Ian G.;Canadian J. Math.,1963

4. A problem of Passman on semisimplicity;Formanek, Edward;Bull. London Math. Soc.,1972

5. Primitive group rings;Formanek, Edward;Proc. Amer. Math. Soc.,1972

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