How to judge the maximum, minimum, maximum and minimum elements according to hastur's intuitionistic judgment, that is, a = {1,2 ·· 9}, R is the partial ordered set of integral division of A, Draw its hastur, and judge its maximum, minimum, maximum and minimum elements

How to judge the maximum, minimum, maximum and minimum elements according to hastur's intuitionistic judgment, that is, a = {1,2 ·· 9}, R is the partial ordered set of integral division of A, Draw its hastur, and judge its maximum, minimum, maximum and minimum elements

The biggest one has no nodes on it (it should have 9, 8, 7, 6, 5)
The smallest one has no nodes below (only 1)
The smallest is under all nodes (there is a path to connect them) (only 1)
The biggest is the top of all nodes (not in this case)
In this case, 1, 2, 4, 8, other prime numbers 3, 5, 7 are also in the second layer, and 6, 9 are in the third layer, as shown in the following figure