Tamari lattice

noun

A partially ordered set in which the elements consist of different ways of grouping a sequence of objects into pairs using parentheses (e.g. for a sequence of four objects abcd, the five possible groupings are ((ab)c)d, (ab)(cd), (a(bc))d, a((bc)d), and a(b(cd))).

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Meanings

nounTamari lattice (plural Tamari lattices)

plural Tamari lattices

  1. mathematicsA partially ordered set in which the elements consist of different ways of grouping a sequence of objects into pairs using parentheses (e.g. for a sequence of four objects abcd, the five possible groupings are ((ab)c)d, (ab)(cd), (a(bc))d, a((bc)d), and a(b(cd))).

Origin

Introduced by Dov Tamari (1962).

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Cite this entry
APA

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

MLA

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

Chicago

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

Source: Tamari lattice on Wiktionary, CC BY-SA 4.0.