Implicative Hyper Research Articles

Relation between hyper $K$-algebras with superlattices and hypersemilattices

In this paper, by considering the concepts of hypersemilattice and superlattice, we prove that any commutative and positive implicative hyper $K$-algebra, is a hypersemilattice. Moreover, we prove that any bounded commutative hyper $K$-algebra with some conditions, is a superlattice.