Relationship Between Hyper MV -algebras and Hyperlattices

Autor: Borzooei R. A., Radfar Akefe, Niazian Sogol
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Annals of the West University of Timisoara: Mathematics and Computer Science, Vol 54, Iss 2, Pp 75-94 (2016)
Druh dokumentu: article
ISSN: 1841-3307
DOI: 10.1515/awutm-2016-0016
Popis: Sh. Ghorbani, et al. [9], generalized the concept of MV -algebras and defined the notion of hyper MV -algebras. Now, in this paper, we try to prove that any hyper MV -algebra is a hyperlattice. First we prove that any hyper MV -algebra that satisfies the semi negation property is a hyperlattice. Then with a computer program, we show that any hyper MV -algebra of order less than 6, is a hyperlattice. Finally, we claim that this result is correct for any hyper MV -algebra.
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