Primitivity of prime countable-dimensional regular algebras

2013/08/27 by Pere Ara, Ara, Pere, Jason P. Bell +1
Mathematics · #16A12 #16A20 #16A30 #16A32 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1308.5848

openalex publication_date 2013/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Lifting idempotents and exchange rings

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