Hasse diagram

noun

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 and y<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) then an arrow is draw from x to y.

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Meanings

nounHasse diagram (plural Hasse diagrams)

plural Hasse diagrams

  1. mathematicsA 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 and y<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) then an arrow is draw from x to y.

Origin

Named after Helmut Hasse (1898–1979), though he was not the first to use them.

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Cite this entry
APA

Hasse diagram. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Hasse%20diagram

MLA

“Hasse diagram.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hasse%20diagram. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hasse diagram,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Hasse%20diagram.

Source: Hasse diagram on Wiktionary, CC BY-SA 4.0.