"normal extension" meaning in All languages combined

{
  "forms": [
    {
      "form": "normal extensions",
      "tags": [
        "plural"
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    }
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  "head_templates": [
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      "expansion": "normal extension (plural normal extensions)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
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        {
          "kind": "other",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [],
          "source": "w"
        }
      ],
      "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"
        }
      ],
      "hyponyms": [
        {
          "word": "Galois extension"
        }
      ],
      "id": "en-normal_extension-en-noun-RhfaIQ5j",
      "links": [
        [
          "algebra",
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        ],
        [
          "algebraic extension",
          "algebraic extension"
        ],
        [
          "irreducible",
          "irreducible#English"
        ]
      ],
      "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"
      ]
    }
  ],
  "word": "normal extension"
}

{
  "forms": [
    {
      "form": "normal extensions",
      "tags": [
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  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "normal extension (plural normal extensions)",
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  "hypernyms": [
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    }
  ],
  "hyponyms": [
    {
      "word": "Galois extension"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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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."
      ],
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        [
          "algebra",
          "algebra"
        ],
        [
          "algebraic extension",
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        ],
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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"
      ]
    }
  ],
  "word": "normal extension"
}