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Incomparable prime ideals in commutative radical Fréchet algebras

Author: Hung Le Pham
Journal: Proc. Amer. Math. Soc. 137 (2009), 593-596
MSC (2000): Primary 46J05; Secondary 46J20, 46J45
Published electronically: August 22, 2008
MathSciNet review: 2448580
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

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Additional Information

Hung Le Pham
Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada

Keywords: Commutative Fréchet algebra, radical, Banach algebra, prime ideal
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
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.