DERIVATIONS OF BE-ALGEBRAS FROM HYPER BE-ALGEBRAS

In this paper, we investigate some results in (BE-algebras) dual BCK-algebras and hyper (BE-algebras) dual K-algebras. We show that by a set X, we can construct a hyper (BE-algebra) dual K-algebra. By concept of (BE-algebras) dual BCK-algebras and fundamental relation on hyper (BE-algebras) dual K-algebras the notion of fundamental (BE-algebras) dual BCK-algebras is introduced. We prove that any (BE-algebra) dual BCK-algebra is a fundamental (BE-algebra) dual BCK-algebra, in practical, any infinite set converts to fundamental (BE-algebra) dual BCK-algebra of itself.