"separable extension" meaning in English

{
  "forms": [
    {
      "form": "separable extensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "separable extension (plural separable extensions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
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            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "A finite (and thereby algebraic) extension of a base field such that every element of the extension is the root of a separable polynomial over the base field."
      ],
      "hypernyms": [
        {
          "word": "algebraic extension"
        }
      ],
      "hyponyms": [
        {
          "word": "Galois extension"
        }
      ],
      "id": "en-separable_extension-en-noun-XUd-hgiM",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "algebraic",
          "algebraic extension"
        ],
        [
          "extension",
          "extension field"
        ],
        [
          "separable polynomial",
          "separable polynomial"
        ]
      ],
      "raw_glosses": [
        "(algebra) A finite (and thereby algebraic) extension of a base field such that every element of the extension is the root of a separable polynomial over the base field."
      ],
      "related": [
        {
          "word": "separable polynomial"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "separable extension"
      ]
    }
  ],
  "word": "separable extension"
}

{
  "forms": [
    {
      "form": "separable extensions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "separable extension (plural separable extensions)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "algebraic extension"
    }
  ],
  "hyponyms": [
    {
      "word": "Galois extension"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "separable polynomial"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Algebra"
      ],
      "glosses": [
        "A finite (and thereby algebraic) extension of a base field such that every element of the extension is the root of a separable polynomial over the base field."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "algebraic",
          "algebraic extension"
        ],
        [
          "extension",
          "extension field"
        ],
        [
          "separable polynomial",
          "separable polynomial"
        ]
      ],
      "raw_glosses": [
        "(algebra) A finite (and thereby algebraic) extension of a base field such that every element of the extension is the root of a separable polynomial over the base field."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "separable extension"
      ]
    }
  ],
  "word": "separable extension"
}