Lattice Structure on Weak Hyper BCK-ideals
R. A. Borzooei and M. Bakhshi
In this note by considering the notion of weak hyper BCK-ideal of a hyper BCK-algebra, we study the lattice structure on the class of all weak hyper BCK-ideals. We show that the lattice of these ideals form a Boolean and geometric lattice, under suitable conditions. Finally, we consider the notion of pseudo-complement and we prove that the algebra (S (Isw(H )), ∨;∧)) of all pseudo-complements of weak hyper BCK-ideals of a hyper BCK-algebra H is a Boolean lattice.