counitary

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/koʊˈjuːnɪtɛri/

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.

Scrabble 14
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Meanings

adjectivecounitary (not comparable)
  1. not comparablemathematicsHaving a counit, which is a map that serves as an identity-like element in a coalgebra, analogous to the unit in an algebra.

    (counitary) (#92;varepsilon#92;otimesId#95;M)#92;circ#92;psi#61;Id#95;M

    2024 May 27, Wikipedia contributors, “Comodule over a Hopf algebroid”, in English Wikipedia, Wikimedia Foundation
    2 more examples

    … 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

From co- + unitary.

Full word history & related roots →

Rhymes & wordplay

Anagrams

cautionry
Cite this entry
APA

counitary. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/counitary

MLA

“counitary.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/counitary. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “counitary,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/counitary.

Source: counitary on Wiktionary, CC BY-SA 4.0.