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Hopf algebra

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.

Noun

Hopf algebra (plural Hopf algebras)

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

Forms of Hopf algebra

pluralHopf algebras

Origin of Hopf algebra

Named after Heinz Hopf.

Questions about Hopf algebra

What does Hopf algebra mean?
Hopf algebra means a structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property.
What part of speech is Hopf algebra?
Hopf algebra is a noun.
What is the plural of Hopf algebra?
The plural of Hopf algebra is Hopf algebras.

Words near Hopf algebra in the dictionary

  1. Hopewell Junction
  2. Hopewellian
  3. Hopewells
  4. Hopey McChange
  5. Hopf
  6. Hopf algebra
  7. Hopf algebras
  8. Hopf invariant
  9. Hopf link
  10. Hopf links
  11. Hopf number

Source and license

Adapted from Wiktionary: Hopf algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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