Incomparable prime ideals in commutative radical Fréchet algebras
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- by Hung Le Pham
- Proc. Amer. Math. Soc. 137 (2009), 593-596
- DOI: https://doi.org/10.1090/S0002-9939-08-09665-2
- Published electronically: August 22, 2008
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Abstract:
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.References
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Bibliographic Information
- Hung Le Pham
- Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada
- Email: hlpham@math.ualberta.ca
- 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: https://doi.org/10.1090/S0002-9939-08-09665-2
- MathSciNet review: 2448580