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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

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


Author: Giuseppe Baccella
Journal: Proc. Amer. Math. Soc. 103 (1988), 747-749
MSC: Primary 16A30
DOI: https://doi.org/10.1090/S0002-9939-1988-0947650-6
MathSciNet review: 947650
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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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DOI: https://doi.org/10.1090/S0002-9939-1988-0947650-6
Article copyright: © Copyright 1988 American Mathematical Society

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