Question

Let A={0, 1,2}×{2, 5,8}={(0, 2), (0, 5), (0, 8), (1, 2), (1, 5), (1, 8), (2, 2), (2, 5), (2, 8) }.

A partial order relation R on A is defined by (a, b) R(c, d) if and only if (a+b) divides (c+d). Draw a hasse diagram for poset A.

Answer 1

The Hasse diagram for the poset of $A$ defined as $(a,b)R(c,d)$ iff $(a+b)|(c+d)$ is as below: