Word.ws English Dictionary

counitary

/koʊˈjuːnɪtɛri/

counitary adjective: having a counit, which is a map that serves as an identity-like element in a coalgebra, analogous to the unit in an algebra.

Adjective

counitary (not comparable)

  1. Having a counit, which is a map that serves as an identity-like element in a coalgebra, analogous to the unit in an algebra.
    • … the fᵢ - 0 for i = 1,2,3, and the eᵢ are cononical isomorphisms; and f₄ = 0 as P - P²Λ is a right (counitary) Λ-comodule.1968, David W. Jonah, Cohomology of Coalgebras (Memoirs of the American Mathematical Society; 82), American Mathematical Soc., page 64
    • For instance the counitary property immediately implies that ρ is a monomorphism.2002, William Chin, “A BRIEF INTRODUCTION TO COALGEBRA REPRESENTATION THEORY”, in William Chin, page 6

Origin of counitary

From co- + unitary.

Questions about counitary

What does counitary mean?
Counitary means having a counit, which is a map that serves as an identity-like element in a coalgebra, analogous to the unit in an algebra.
What part of speech is counitary?
Counitary is an adjective.
How do you pronounce counitary?
Counitary is pronounced /koʊˈjuːnɪtɛri/.

Words near counitary in the dictionary

  1. counimodular
  2. counion
  3. counions
  4. counit
  5. counital
  6. counitary
  7. counite
  8. counited
  9. counites
  10. couniting
  11. counits

Source and license

Adapted from Wiktionary: counitary (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.

Last updated:

Cite this entry: “counitary.” Word.ws, https://word.ws/counitary. Based on Wiktionary, CC BY-SA 4.0.