counitary /koʊˈjuːnɪtɛri/ adjective1 •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