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Abstract
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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.
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