Hasse diagram for the the relation $\{(a,a),(a,b),(a,c),(b,a),(b,b),(b,b),(b,c),(c,a),(c,b),(c,c)\}$ on set $M=\{a,b,c\}$
I tried to make the Hasse-Diagram for the relation. But as every element is in relation to all other elements, there can be no edges between the elements in the Hasse-diagram. Is this right or am I wrong? Would the Hasse-diagram then simply be $c, b, a$ without edges?
The only Hasse diagrams I'm familiar with are the diagrams of an order $<$. In other words, the diagram is of an antisymmetric relation.