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, cilt.6, sa.3, 2017 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.3390/axioms6030017
  • Dergi Adı: AXIOMS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Anahtar Kelimeler: MV-algebras, equivalence of set of axioms, independence, Yang-Baxter equation
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

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.