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http://dx.doi.org/10.4134/CKMS.2010.25.4.537

HYPER MV-DEDUCTIVE SYSTEMS OF HYPER MV-ALGEBRAS  

Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION (AND RINS) GYEONGSANG NATIONAL UNIVERSITY)
Kang, Min-Su (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
Kim, Hee-Sik (DEPARTMENT OF MATHEMATICS HANYANG UNIVERSITY)
Publication Information
Communications of the Korean Mathematical Society / v.25, no.4, 2010 , pp. 537-545 More about this Journal
Abstract
The notions of (weak) hyper MV-deductive systems and (weak) implicative hyper MV-deductive systems are introduced, and several properties are investigated. Relations among hyper MV-deductive systems, weak hyper MV-deductive systems, implicative hyper MV-deductive systems and weak implicative hyper MV-deductive systems are discussed. A characterization of a hyper MV-deductive system is provided. A condition for a weak hyper MV-deductive system to be a weak implicative hyper MV-deductive system is given.
Keywords
hyper MV-algebra; (weak) hyper MV-deductive system; (weak) implicative hyper MV-deductive system;
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  • Reference
1 Sh. Ghorbani, A. Hasankhani, and E. Eslami, Hyper MV-algerbas, Set-Valued Math. Appl. (to appear).
2 Sh. Ghorbani, E. Eslami, and A. Hasankhani, Quotient hyper MV-algerbas, Sci. Math. Jpn. 66 (2007), 371–386.
3 L. Torkzadeh and A. Ahadpanah, Hyper MV-ideals in hyper MV-algerbas, Math. Log. Quart. 56 (2010), 51–62.   DOI   ScienceOn