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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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Polynomial rings over Goldie rings are often Goldie
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by Victor Camillo and Robert Guralnick PDF
Proc. Amer. Math. Soc. 98 (1986), 567-568 Request permission

Abstract:

Here, we prove a result that has as a consequence the fact that if the ring $R$ is an algebra over an uncountable field the a.c.c. on annihilators is preserved under polynomial extensions by any number of variables.
References
    Jeanne Kerr, (to appear).
  • Robert C. Shock, Polynomial rings over finite dimensional rings, Pacific J. Math. 42 (1972), 251–257. MR 318201
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 567-568
  • MSC: Primary 16A34; Secondary 16A33
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0861751-0
  • MathSciNet review: 861751