"Hopf algebra" meaning in English

{
  "etymology_text": "Named after Heinz Hopf.",
  "forms": [
    {
      "form": "Hopf algebras",
      "tags": [
        "plural"
      ]
    }
  ],
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      "expansion": "Hopf algebra (plural Hopf algebras)",
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property."
      ],
      "id": "en-Hopf_algebra-en-noun-6kpsBMTg",
      "links": [
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          "mathematics",
          "mathematics"
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        [
          "structure",
          "structure"
        ],
        [
          "simultaneous",
          "simultaneous"
        ],
        [
          "unital",
          "unital"
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        [
          "associative",
          "associative"
        ],
        [
          "algebra",
          "algebra"
        ],
        [
          "counital",
          "counital"
        ],
        [
          "coassociative",
          "coassociative"
        ],
        [
          "coalgebra",
          "coalgebra"
        ],
        [
          "antiautomorphism",
          "antiautomorphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Heinz Hopf",
        "Hopf algebra"
      ]
    }
  ],
  "word": "Hopf algebra"
}

{
  "etymology_text": "Named after Heinz Hopf.",
  "forms": [
    {
      "form": "Hopf algebras",
      "tags": [
        "plural"
      ]
    }
  ],
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      "glosses": [
        "A structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property."
      ],
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        [
          "mathematics",
          "mathematics"
        ],
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          "structure",
          "structure"
        ],
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          "simultaneous",
          "simultaneous"
        ],
        [
          "unital",
          "unital"
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          "associative",
          "associative"
        ],
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          "algebra",
          "algebra"
        ],
        [
          "counital",
          "counital"
        ],
        [
          "coassociative",
          "coassociative"
        ],
        [
          "coalgebra",
          "coalgebra"
        ],
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          "antiautomorphism",
          "antiautomorphism"
        ]
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      "raw_glosses": [
        "(mathematics) A structure that is simultaneously a unital associative algebra and a counital coassociative coalgebra, equipped with an antiautomorphism satisfying a certain property."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
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  "word": "Hopf algebra"
}