"normal extension" meaning in All languages combined

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    {
      "form": "normal extensions",
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      "expansion": "normal extension (plural normal extensions)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "glosses": [
        "A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial."
      ],
      "hypernyms": [
        {
          "word": "algebraic extension"
        }
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          "word": "Galois extension"
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      "id": "en-normal_extension-en-noun-RhfaIQ5j",
      "links": [
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          "algebraic extension",
          "algebraic extension"
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        [
          "irreducible",
          "irreducible#English"
        ]
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      "raw_glosses": [
        "(algebra) A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
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  "word": "normal extension"
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  "lang_code": "en",
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        "A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial."
      ],
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          "algebra",
          "algebra"
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      "raw_glosses": [
        "(algebra) A finite, algebraic extension of some field such that if it contains any root of any irreducible polynomial over that base field then it contains all of the roots of that polynomial."
      ],
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        "algebra",
        "mathematics",
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