DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS
Copyright policy )DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS
Summary: In this paper, we investigate some new results in MV-algebras and (strong) hyper MV-algebras. We show that for any infinite countable set \(M\), we can construct an MV-algebra and a strong hyper MV-algebra on \(M\). Specially, for any infinite totally bounded set, we can construct a strong hyper MV-algebra on it. Then by considering the concept of fundamental relation on hyper MV-algebras, we define the notion of fundamental MV-algebra and prove that any MV-algebra is a fundamental MV-algebra. In practical, we show that any infinite countable MV-algebra is a fundamental MV-algebra of itself, but it is not correct for finite MV-algebras.
BCK-algebras, BCI-algebras, hyper MV-algebra, strong hyper MV-algebra, fundamental MV-algebra, Other algebras related to logic
BCK-algebras, BCI-algebras, hyper MV-algebra, strong hyper MV-algebra, fundamental MV-algebra, Other algebras related to logic
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