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

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.

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Bibliographic Details
Published in:Axioms 2017-09, Vol.6 (4), p.17
Main Authors: Oner, Tahsin, Senturk, Ibrahim, Oner, Gulsah
Format: Article
Language:English
Subjects:
Algebra
Axioms
equivalence of set of axioms
independence
MV-algebras
Yang–Baxter equation
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Summary: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms6030017