Primitivity of prime countable-dimensional regular algebras
classification
🧮 math.RA
keywords
primeregularalgebraalgebrasansweringcasecountablecountable-dimensional
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Let $k$ be a field and let $R$ be a countable dimensional prime von Neumann regular $k$-algebra. We show that $R$ is primitive, answering a special case of a question of Kaplansky.
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