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http://dx.doi.org/10.5831/HMJ.2016.38.3.643

DERIVATIONS OF MV-ALGEBRAS FROM HYPER MV-ALGEBRAS  

Hamidi, M. (Department of Mathematics, Payame Noor University)
Borzooei, R.A. (Department of Mathematics, Shahid Beheshti University)
Publication Information
Honam Mathematical Journal / v.38, no.3, 2016 , pp. 643-659 More about this Journal
Abstract
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.
Keywords
MV-algebra; fundamental MV-algebra; (strong) hyper MV-algebra;
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Times Cited By KSCI : 1  (Citation Analysis)
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