counitaryとは 意味・読み方・使い方

発音

• IPA: /koʊˈjuːnɪtɛri/

形容詞

counitary (not comparable)

1. (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.
   • 1968, David W. Jonah, Cohomology of Coalgebras (Memoirs of the American Mathematical Society; 82), American Mathematical Soc., page 64:

     … the f_i - 0 for i = 1,2,3, and the e_i are cononical isomorphisms; and f₄ = 0 as P - P²Λ is a right (counitary) Λ-comodule.

   • 2002, William Chin, “A BRIEF INTRODUCTION TO COALGEBRA REPRESENTATION THEORY”, in William Chin‎, page 6:

     For instance the counitary property immediately implies that ρ is a monomorphism.

   • 2024 May 27, Wikipedia contributors, “Comodule over a Hopf algebroid”, in English Wikipedia‎, Wikimedia Foundation:

     (counitary) ${\displaystyle (\varepsilon \otimes Id_{M})\circ \psi =Id_{M}}$