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Words, grammatical forms and meanings linked to the ontology.

counitary en · ADJ

Pronunciation

  • /koʊˈjuːnɪtɛri/

Etymology

From co- + unitary.

Meanings

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