Hyper MV -ideals in hyper MV -algebras

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

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

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