Construct the Hasse diagram for the “divides” relation, | on the set {2, 3, 4, 6, 8, 9, 12, 18}.

Answer 1

poset A={(2 4), (2 6), (2 8), (2 12), (2 18),

                       (3 6), (3 9), (3 12), (3 18),

                       (4 8), (4 12),

                       (6 12), (6 18),

                       (9 18) }

So, Hasse diagram is: