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.

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Semihereditary polynomial rings
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by Victor P. Camillo
Proc. Amer. Math. Soc. 45 (1974), 173-174
DOI: https://doi.org/10.1090/S0002-9939-1974-0352165-2

Abstract:

It is shown that if the ring of polynomials over a commutative ring $R$ is semihereditary then $R$ is von Neumann regular. This is the converse of a theorem of P. J. McCarthy.
References
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 45 (1974), 173-174
  • MSC: Primary 16A30; Secondary 13F20
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0352165-2
  • MathSciNet review: 0352165