von Neumann regularity of 𝑉-rings with Artinian primitive factor rings

Baccella, Giuseppe

doi:10.1090/S0002-9939-1988-0947650-6

von Neumann regularity of $V$-rings with Artinian primitive factor rings
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Proc. Amer. Math. Soc. 103 (1988), 747-749 Request permission

Abstract:

Let $R$ be a ring whose right primitive factor rings are artinian. It is a known result that if $R$ is von Neumann regular, then $R$ is a right $V$-ring, that is, all simple right $R$-modules are injective. In the present work we prove that the converse holds.

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