LATTICE OF WEAK HYPER K-IDEALS OF A HYPER K-ALGEBRA

In this note, we study the lattice structure of the classof all weak hyper k-ideals of a hyper k-algebra. we rst introducethe notion of (left, right) scalar element in a hyper k-algebra whichhelps us to characterize the weak hyper k-ideals generated by asubset. in the sequel, using the notion of a closure operator, westudy the lattice of all weak hyper k-ideals of a hyper k-algebraand prove that, under suitable conditions, a special subclass of thisclass forms a boolean lattice.