Saeed Rasoli

In this article, by considering the notion of a hyperlattice and a superlattice, we give some examples of them, and we study their structures and their quotient structure with a regular relation. We introduce the relation
on a hyperlattice L, and we let
? be the transitive closure of
. We show that
? is a fundamental relation on a hyperlattice. The quotient L/
? is called the fundamental lattice. Notice that the most important relations in hyperstructure theory are the fundamental ones. Finally, we give some interesting results about the fundamental lattices.