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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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by P. R. Fuchs, C. J. Maxson and G. F. Pilz PDF
Trans. Amer. Math. Soc. 349 (1997), 1271-1284 Request permission

Abstract:

In this paper we investigate the problem of characterizing those rings $R$ such that every nonzero polynomial with coefficients from $R$ has a finite number of zeros in $R$. Particular attention is directed to the class of skew polynomial domains.
References
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Additional Information
  • P. R. Fuchs
  • Affiliation: Institut für Mathematik, Johannes Kepler Universität, A-4040 Linz, Austria
  • Email: peter.fuchs@jk.uni-linz.ac.at
  • C. J. Maxson
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
  • Email: cjmaxson@math.tamu.edu
  • G. F. Pilz
  • Affiliation: Institut für Mathematik, Johannes Kepler Universität, A-4040 Linz, Austria
  • Email: guenter.pilz@jk.uni-linz.ac.at
  • Received by editor(s): August 15, 1994
  • Received by editor(s) in revised form: July 12, 1995

  • Dedicated: In Memoriam Professor J. R. Clay
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 1271-1284
  • MSC (1991): Primary 16S36; Secondary 16U10, 11R04
  • DOI: https://doi.org/10.1090/S0002-9947-97-01695-4
  • MathSciNet review: 1370641