Mathematical Logic Quarterly 56 (1):51-62 (2010)

In this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper MV -algebra and we obtain some related results. After that by considering the notions ofhyper MV -ideals and weak hyper MV -ideals, we prove some theorems. Then we determine relationships between hyper MV -ideals in a hyper MV -algebra and hyper K -ideals in a hyper K -algebra . Finally we give a characterization of hyper MV -algebras of order 3 or 4 based on the hyper MV -ideals
Keywords hyper K ‐algebra  hyper MV ‐ideal  Hyper MV ‐algebra
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DOI 10.1002/malq.200810035
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