"division algebra" meaning in English

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      "glosses": [
        "A linear algebra such that its non-zero vectors form a multiplicative group."
      ],
      "hyponyms": [
        {
          "word": "field"
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          "word": "quaternions"
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          "word": "reals"
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        "(algebra) A linear algebra such that its non-zero vectors form a multiplicative group."
      ],
      "synonyms": [
        {
          "word": "associative division algebra"
        }
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          "source": "w+disamb"
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      "glosses": [
        "An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.)"
      ],
      "hyponyms": [
        {
          "word": "octonions"
        }
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        "(algebra) An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.)"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
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  "wikipedia": [
    "division algebra"
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  "word": "division algebra"
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        "A linear algebra such that its non-zero vectors form a multiplicative group."
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          "word": "field"
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        "(algebra) A linear algebra such that its non-zero vectors form a multiplicative group."
      ],
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        {
          "word": "associative division algebra"
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        "(algebra) An algebra over a field such that every non-zero element of it has a multiplicative inverse. (It is not required to have a unity element.)"
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