On tropical polynomials of a single variable

  • Yina Ospino Buelvas Universidad del Atlántico
  • Danilo Polo Ojito Universidad del Atlántico
  • Jair Herazo Universidad del Atlántico.
Keywords: Tropical polynomials, tropical semiring. Polinomios tropicales, semianillo tropical

Abstract

In this paper we present a study of the different algebraic properties of the tropical polynomials of a single variable, where a generalization of the tropical semiring $ \mathbb{R}_{min}$ is also introduced, which allows to extend certain concepts and gives a successful generalization of the fundamental theorem of tropical algebra.

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References

bibitem{1} Erwan Brugalle and Kristin Shaw. A bit of tropical geometry. The American Mathematical Monthly, 121(7):pp. 563-589, 2014.

bibitem{2}D. Maclagan, B. Sturmfels. Introduction to Tropical Geometry. University of California.(2015).Pag 15-38.

% bibitem{3} A. Laface. Introduccion a la geometri­a tropical. Mathematics Subject Classification. (2008) Pag3-10.

bibitem{4} N. Grigg y N. Manwaring, An Elementary Proof of the Fundamental Theorem of Tropical Algebra, arXiv:0707.2591v1.

bibitem{5}T. Theobald, On the frontiers of polynomial computations in tropical

geometry. Pag 1-6 (2005)

bibitem{6} J. Richter-Gebert, B. Sturmfels, y T. Theobald, First steps in tropical geometry, Idempotent mathematics

and mathematical physics, Contemp. Math., 377, Amer. Math. Soc., Providence, RI, 289-317 (2005).

Published
2019-06-30
How to Cite
Ospino Buelvas, Y., Polo Ojito, D., & Herazo, J. (2019). On tropical polynomials of a single variable. Revista MATUA ISSN: 2389-7422, 6(1). Retrieved from https://investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/2276