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单词 SymmetricMonoidalCategory
释义

symmetric monoidal category


A monoidal category 𝒞 with tensor productPlanetmathPlanetmath is said to be symmetricPlanetmathPlanetmath if for every pair A,B of objects in 𝒞, there is an isomorphismMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath

sAB:ABBA

that is natural in both A and B such that the following diagrams are commutativePlanetmathPlanetmathPlanetmath

  1. 1.

    (unit coherence for s):

    \\xymatrix@+=2cmAI\\xy@@ix@
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