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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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Noetherian subsets of prime spectra
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by Charles C. Hanna and Jon L. Johnson PDF
Proc. Amer. Math. Soc. 88 (1983), 397-398 Request permission

Abstract:

If $X$ is a noetherian subspace of Spec $R$, the set of primes of $R[x]$ lying over $X$ is also noetherian. A simple consequence is the theorem of Ohm and Pendleton that a ring module-finite over a $j$-noetherian ring is $j$-noetherian.
References
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Additional Information
  • © Copyright 1983 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 88 (1983), 397-398
  • MSC: Primary 13A17; Secondary 13B99
  • DOI: https://doi.org/10.1090/S0002-9939-1983-0699401-6
  • MathSciNet review: 699401