Hasse diagram

Noun

Meaning

Hasse diagram (plural Hasse diagrams)

(set theory) A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if



x
≤
y


{\displaystyle x\leq y}

and



y
≤
z


{\displaystyle y\leq z}

then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that



x
≤
z
≤
y


{\displaystyle x\leq z\leq y}

) then an arrow is draw from x to y.

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