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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Rings with every proper image a principal ideal ring
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by P. F. Smith PDF
Proc. Amer. Math. Soc. 81 (1981), 347-352 Request permission

Abstract:

The main result of this paper states that if $R$ is a right Noetherian right bounded prime ring such that nonzero prime ideals are maximal and such that every proper homomorphic image of $R$ is a principal right ideal ring then $R$ is right hereditary.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 347-352
  • MSC: Primary 16A04; Secondary 16A12, 16A46, 16A60
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0597637-4
  • MathSciNet review: 597637