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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Analytically irreducible polynomials with coefficients in a real-valued field
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by A. Granja, M. C. Martínez and C. Rodríguez PDF
Proc. Amer. Math. Soc. 138 (2010), 3449-3454 Request permission

Abstract:

In this paper, we show a criterion of analytic irreducibility for polynomials with coefficients in a real-valued field. This generalizes previous criteria of Abhyankar as well as those of Granja.
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Additional Information
  • A. Granja
  • Affiliation: Departamento de Matemáticas, Universidad de León, 24071-León, Spain
  • MR Author ID: 76125
  • ORCID: 0000-0002-7487-892X
  • Email: angel.granja@unileon.es
  • M. C. Martínez
  • Affiliation: Departamento de Matemática Aplicada, Universidad de Valladolid, 47014-Valladolid, Spain
  • Email: carmen@mat.uva.es
  • C. Rodríguez
  • Affiliation: Departamento de Matemáticas, Universidad de León, 24071-León, Spain
  • Email: mcrods@unileon.es
  • Received by editor(s): September 28, 2009
  • Received by editor(s) in revised form: December 30, 2009
  • Published electronically: April 13, 2010
  • Additional Notes: This work was partially supported by MCI, MTM2009-11433 and JCYL, LE003A09.
  • Communicated by: Bernd Ulrich
  • © Copyright 2010 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 3449-3454
  • MSC (2010): Primary 13B25, 12E05; Secondary 13A05, 13F30
  • DOI: https://doi.org/10.1090/S0002-9939-10-10357-8
  • MathSciNet review: 2661545