δ-relation on dual hyper K –algebras

Abstract

In this paper, we are going to introduce a fundamental relation “δ” on (hyper BE-algebra) dual hyper K-algebra and investigate some properties. We show that quotient of any dual hyper K-algebra via a regular relation is a hyper BE-algebra and this quotient, via any strongly regular relation is a BE-algebra. Furthermore, it shows that “δ” under some condition is transitive and quotient of any weak commutative dual hyper K-algebra via “δ^*” is a dual BCK-algebra.