Lexic.us

Definition of Hasse diagram

1. Noun. (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 Transitivity of the order relation is tacit, in other words, if $x\; \backslash le\; y$ and $y\; \backslash le\; z$ then no arrow is drawn from ''x'' to ''z'', but if there is no distinct ''z'' between ''x'' and ''y'' (such that $x\; \backslash le\; z\; \backslash le\; y$) then an arrow is draw from ''x'' to ''y''. ¹

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