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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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A product formula for minimal polynomials and degree bounds for inverses of polynomial automorphisms
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by Jie Tai Yu PDF
Proc. Amer. Math. Soc. 123 (1995), 343-349 Request permission

Abstract:

By means of Galois theory, we give a product formula for the minimal polynomial G of $\{ {f_0},{f_1}, \ldots ,{f_n}\} \subset K[{x_1}, \ldots ,{x_n}]$ which contains n algebraically independent elements, where K is a field of characteristic zero. As an application of the product formula, we give a simple proof of Gabber’s degree bound inequality for the inverse of a polynomial automorphism.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 343-349
  • MSC: Primary 12E05; Secondary 12F05, 12Y05
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1216829-4
  • MathSciNet review: 1216829