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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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Henselian rings and Weierstrass polynomials
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by Budh Nashier PDF
Proc. Amer. Math. Soc. 112 (1991), 685-690 Request permission

Abstract:

We give two characterizations of a one-dimensional Henselian domain. If $\left ( {A,\mathcal {M}} \right )$ is a local domain of Krull dimension at least two, or if $\left ( {A,\mathcal {M}} \right )$ is a one-dimensional Henselian local domain, then a polynomial $f$ in $A\left [ T \right ]$ is Weierstrass if and only if $\left ( {\mathcal {M},T} \right )$ is the only maximal ideal of $A\left [ T \right ]$ that contains $f$.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 112 (1991), 685-690
  • MSC: Primary 13F20; Secondary 13B25, 13J15
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1057944-4
  • MathSciNet review: 1057944