"counitary" meaning in English

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  "etymology_text": "From co- + unitary.",
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          "ref": "1968, David W. Jonah, Cohomology of Coalgebras (Memoirs of the American Mathematical Society; 82), American Mathematical Soc., page 64:",
          "text": "… 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.",
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          "ref": "2002, William Chin, “A BRIEF INTRODUCTION TO COALGEBRA REPRESENTATION THEORY”, in William Chin, page 6:",
          "text": "For instance the counitary property immediately implies that ρ is a monomorphism.",
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          "ref": "2024 May 27, Wikipedia contributors, “Comodule over a Hopf algebroid”, in English Wikipedia, Wikimedia Foundation:",
          "text": "(counitary) (#92;varepsilon#92;otimesId#95;M)#92;circ#92;psi#61;Id#95;M",
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        "Having a counit, which is a map that serves as an identity-like element in a coalgebra, analogous to the unit in an algebra."
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        "(mathematics) Having a counit, which is a map that serves as an identity-like element in a coalgebra, analogous to the unit in an algebra."
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  "word": "counitary"
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          "text": "… 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.",
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