Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

von Neumann regularity of $V$-rings with Artinian primitive factor rings
HTML articles powered by AMS MathViewer

by Giuseppe Baccella
Proc. Amer. Math. Soc. 103 (1988), 747-749
DOI: https://doi.org/10.1090/S0002-9939-1988-0947650-6

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.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 16A30
  • Retrieve articles in all journals with MSC: 16A30
Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • 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