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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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On a conjecture of Tomas Sauer regarding nested ideal interpolation
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by Boris Shekhtman PDF
Proc. Amer. Math. Soc. 137 (2009), 1723-1728 Request permission

Abstract:

Tomas Sauer conjectured that if an ideal complements polynomials of degree less than $n$, then it is contained in a larger ideal that complements polynomials of degree less than $n-1$. We construct a counterexample to this conjecture for polynomials in three variables and with $n=3$.
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Additional Information
  • Boris Shekhtman
  • Affiliation: Department of Mathematics and Statistics, University of South Florida, Tampa, Florida 33620
  • MR Author ID: 195882
  • Email: boris@math.usf.edu
  • Received by editor(s): May 30, 2008
  • Published electronically: December 11, 2008
  • 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), 1723-1728
  • MSC (2000): Primary 41A63; Secondary 41A10, 41A80, 13P10
  • DOI: https://doi.org/10.1090/S0002-9939-08-09816-X
  • MathSciNet review: 2470830