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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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Incomparable prime ideals in commutative radical Fréchet algebras
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by Hung Le Pham PDF
Proc. Amer. Math. Soc. 137 (2009), 593-596 Request permission


Let $R$ be a commutative radical Fréchet algebra having a non-nilpotent element $a$ with $a\in \overline {Ra}$. Then $R$ contains a continuum of incomparable prime ideals.
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Additional Information
  • Hung Le Pham
  • Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
  • Email:
  • Received by editor(s): January 23, 2008
  • Published electronically: August 22, 2008
  • Additional Notes: This research is supported by a Killam Postdoctoral Fellowship and an Honorary PIMS PDF
  • Communicated by: Nigel J. Kalton
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 593-596
  • MSC (2000): Primary 46J05; Secondary 46J20, 46J45
  • DOI:
  • MathSciNet review: 2448580