Hopf algebra

noun

A structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property.

Meanings

nounHopf algebra (plural Hopf algebras)

plural Hopf algebras

  1. mathematicsA structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property.

Origin

Cite this entry
APA

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

MLA

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

Chicago

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

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