"monoidal category" meaning in English

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      "glosses": [
        "A category 𝒞 with a bifunctor ⊗:𝒞×𝒞→𝒞 which may be called tensor product, an associativity isomorphism α_(A,B,C):(A⊗B)⊗C≃A⊗(B⊗C), an object I which may be called tensor unit, a left unit natural isomorphism λ_A:I⊗A≃A, a right unit natural isomorphism ρ_A:A⊗I≃A, and some \"coherence conditions\" (pentagon and triangle commutative diagrams for those isomorphisms)."
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      "id": "en-monoidal_category-en-noun-ISsuX6IC",
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          "category theory",
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          "bifunctor",
          "bifunctor"
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        [
          "tensor product",
          "tensor product"
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      "raw_glosses": [
        "(category theory) A category 𝒞 with a bifunctor ⊗:𝒞×𝒞→𝒞 which may be called tensor product, an associativity isomorphism α_(A,B,C):(A⊗B)⊗C≃A⊗(B⊗C), an object I which may be called tensor unit, a left unit natural isomorphism λ_A:I⊗A≃A, a right unit natural isomorphism ρ_A:A⊗I≃A, and some \"coherence conditions\" (pentagon and triangle commutative diagrams for those isomorphisms)."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
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      "wikipedia": [
        "monoidal category"
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    }
  ],
  "word": "monoidal category"
}

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    {
      "form": "monoidal categories",
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        "A category 𝒞 with a bifunctor ⊗:𝒞×𝒞→𝒞 which may be called tensor product, an associativity isomorphism α_(A,B,C):(A⊗B)⊗C≃A⊗(B⊗C), an object I which may be called tensor unit, a left unit natural isomorphism λ_A:I⊗A≃A, a right unit natural isomorphism ρ_A:A⊗I≃A, and some \"coherence conditions\" (pentagon and triangle commutative diagrams for those isomorphisms)."
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          "bifunctor",
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          "tensor product",
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      "raw_glosses": [
        "(category theory) A category 𝒞 with a bifunctor ⊗:𝒞×𝒞→𝒞 which may be called tensor product, an associativity isomorphism α_(A,B,C):(A⊗B)⊗C≃A⊗(B⊗C), an object I which may be called tensor unit, a left unit natural isomorphism λ_A:I⊗A≃A, a right unit natural isomorphism ρ_A:A⊗I≃A, and some \"coherence conditions\" (pentagon and triangle commutative diagrams for those isomorphisms)."
      ],
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        "category-theory",
        "computing",
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        "mathematics",
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        "physical-sciences",
        "sciences"
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      "wikipedia": [
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  "word": "monoidal category"
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