Construct Hasse Diagrams Examples

In this class, We discuss Construct Hasse Diagrams Examples.

The reader should have prior knowledge of construct hasse diagram conditions. Click Here.

Example 1:

A = {1, 2, 3, 4, 6, 8, 12}

POSET P = {(a,b)/a divides bon set A}

P = {(1, 2), (1, 3), (1, 4), (1, 6), (1, 8), (1, 12), (2, 4), (2, 6), (2, 8), (2, 12), (3, 6), (3, 12), (4, 8), (4, 12)}

The diagram below shows the hasse diagram.

Example 2:

A = {a, b, c}

S = The set of all subsets of a set A.

The POSET P = [S, ⊆]

The diagram below shows the hasse diagram.