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, no.3, 2017 (ESCI, Scopus)

  • Publication Type: Article / Article
  • Volume: 6 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.3390/axioms6030017
  • Journal Name: AXIOMS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Keywords: MV-algebras, equivalence of set of axioms, independence, Yang-Baxter equation
  • Open Archive Collection: AVESIS Open Access Collection
  • Dokuz Eylül University Affiliated: Yes

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.