Search

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 (weak) hyper MV -ideals in a hyper MV -algebra (M, ⊕, *, 0) and (weak) hyper K -ideals in a hyper K -algebra (M, °, 0). Finally we give a characterization of hyper MV -algebras of order 3 or 4 based on the (weak) hyper MV -ideals (© 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [ABSTRACT FROM AUTHOR]