Definition:Hasse Diagram/Examples

From ProofWiki
Jump to navigation Jump to search

Definition

These are examples of Hasse diagrams

Hasse-Diagram-DivisorsOf24.png $\qquad$ Hasse-Diagram-SubsetsOf123.png

The diagram on the left illustrates the "Divisor" ordering on the set $S = \left\{{1, 2, 3, 4, 6, 8, 12, 24}\right\}$ where $S$ is the set of all elements of $\N_{>0}$ which divide $24$.


The diagram on the right illustrates the "Subset" relation on the power set $\mathcal P \left({S}\right)$ where $S = \left\{{1, 2, 3}\right\}$.


Source of Name

This entry was named for Helmut Hasse.


Sources