shuffle algebra

noun

A Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢ Y of two words X, Y: the sum of all ways of interlacing them. The interlacing is given by the riffle shuffle permutation.

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Meanings

nounshuffle algebra (plural shuffle algebras)

plural shuffle algebras

  1. mathematicsA Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢ Y of two words X, Y: the sum of all ways of interlacing them. The interlacing is given by the riffle shuffle permutation.
Cite this entry
APA

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

MLA

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

Chicago

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

Source: shuffle algebra on Wiktionary, CC BY-SA 4.0.