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


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Öner T. , Şentürk İ. , Oner G.

AXIOMS, vol.6, 2017 (Journal Indexed in ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 6
  • Publication Date: 2017
  • Doi Number: 10.3390/axioms6030017
  • Title of Journal : AXIOMS

Abstract

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.