Axioms (Jun 2017)

An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation

  • Tahsin Oner,
  • Ibrahim Senturk,
  • Gulsah Oner

DOI
https://doi.org/10.3390/axioms6030017
Journal volume & issue
Vol. 6, no. 3
p. 17

Abstract

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The aim of this paper is to give a new equivalent set of axioms for MV-algebras, and to show that the axioms are independent. In addition to this, we handle Yang–Baxter equation problem. In conclusion, we construct a new set-theoretical solution for the Yang–Baxter equation by using MV-algebras.

Keywords