"compositum" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "compositum"
      },
      "expansion": "Latin compositum",
      "name": "der"
    }
  ],
  "etymology_text": "From Latin compositum.",
  "forms": [
    {
      "form": "compositums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "compositum (plural compositums)",
      "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",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 2 entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "92 2 2 3 1",
          "kind": "other",
          "name": "Pages with 2 entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "93 2 2 2 1",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "text": "1998, Iain T. Adamson (translator), David Hilbert, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Zahlbericht], Springer, page 98,\nOf particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime."
        },
        {
          "ref": "2004, Dinesh S. Thakur, Function Field Arithmetic, World Scientific, page 81:",
          "text": "For #x5C;Q, we get the maximal abelian extension by adjoining all roots of unity, i.e., taking compositum of all m-th cyclotomic fields (this is the famous Kronecker-Weber theorem).",
          "type": "quote"
        },
        {
          "ref": "2005, T. Y. Lam, Introduction to Quadratic Forms over Fields, American Mathematical Society, page 333:",
          "text": "This is then just the field compositum of all the quadratic extensions F(#x5C;sqrt#x7B;a#x5F;i#x7D;) in the algebraic closure of F.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
      ],
      "id": "en-compositum-en-noun-9Anj7Jc~",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "field extension",
          "field extension"
        ],
        [
          "subextension",
          "subextension"
        ]
      ],
      "qualifier": "field theory",
      "raw_glosses": [
        "(algebra, field theory) Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
      ],
      "synonyms": [
        {
          "sense": "smallest subextension of a given field extension that contains two given subextensions",
          "word": "field compositum"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-compositum.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.ogg"
    }
  ],
  "word": "compositum"
}

{
  "categories": [
    "Pages with 2 entries",
    "Pages with entries"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "compositum"
      },
      "expansion": "Latin compositum",
      "name": "der"
    }
  ],
  "etymology_text": "From Latin compositum.",
  "forms": [
    {
      "form": "compositums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "compositum (plural compositums)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms derived from Latin",
        "English terms with quotations",
        "Entries with translation boxes",
        "Pages with 2 entries",
        "Pages with entries",
        "en:Algebra"
      ],
      "examples": [
        {
          "text": "1998, Iain T. Adamson (translator), David Hilbert, The Theory of Algebraic Number Fields, [1897, D. Hilbert, Zahlbericht], Springer, page 98,\nOf particular interest is the case in which the discriminants of the fields forming the compositum are relatively prime."
        },
        {
          "ref": "2004, Dinesh S. Thakur, Function Field Arithmetic, World Scientific, page 81:",
          "text": "For #x5C;Q, we get the maximal abelian extension by adjoining all roots of unity, i.e., taking compositum of all m-th cyclotomic fields (this is the famous Kronecker-Weber theorem).",
          "type": "quote"
        },
        {
          "ref": "2005, T. Y. Lam, Introduction to Quadratic Forms over Fields, American Mathematical Society, page 333:",
          "text": "This is then just the field compositum of all the quadratic extensions F(#x5C;sqrt#x7B;a#x5F;i#x7D;) in the algebraic closure of F.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "field extension",
          "field extension"
        ],
        [
          "subextension",
          "subextension"
        ]
      ],
      "qualifier": "field theory",
      "raw_glosses": [
        "(algebra, field theory) Given a field extension F/K and subextensions A and B, the smallest subextension that contains both A and B."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-compositum.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/c/cd/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-compositum.wav.ogg"
    }
  ],
  "synonyms": [
    {
      "sense": "smallest subextension of a given field extension that contains two given subextensions",
      "word": "field compositum"
    }
  ],
  "word": "compositum"
}