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

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A note on Jacobson rings and polynomial rings
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by Miguel Ferrero and Michael M. Parmenter
Proc. Amer. Math. Soc. 105 (1989), 281-286
DOI: https://doi.org/10.1090/S0002-9939-1989-0929416-7

Abstract:

As is well known, if $R$ is a ring in which every prime ideal is an intersection of primitive ideals, the same is true of $R[X]$. The purpose of this paper is to give a general theorem which shows that the above result remains true when many other classes of prime ideals are considered in place of primitive ideals.
References
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Bibliographic Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 105 (1989), 281-286
  • MSC: Primary 16A21
  • DOI: https://doi.org/10.1090/S0002-9939-1989-0929416-7
  • MathSciNet review: 929416