"cogalois" meaning in All languages combined

See cogalois on Wiktionary

Adjective [English]

Etymology: From co- + Galois. Etymology templates: {{prefix|en|co|Galois}} co- + Galois Head templates: {{en-adj|-}} cogalois (not comparable)
  1. (mathematics) Pertaining to the correspondence between subfields of a radical field extension with subgroups of a cogroup that is a Galois group. Tags: not-comparable
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "Galois"
      },
      "expansion": "co- + Galois",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + Galois.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cogalois (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              58,
              66
            ]
          ],
          "ref": "2016, Marco Antonio Sánchez-Mirafuentes, Julio Cesar Salas-Torres, Gabriel Villa-Salvador, “Cogalois theory and Drinfeld modules”, in arXiv:",
          "text": "We show that, in the present form, there does not exist a cogalois theory for Drinfeld modules of rank or class number larger than one.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Pertaining to the correspondence between subfields of a radical field extension with subgroups of a cogroup that is a Galois group."
      ],
      "id": "en-cogalois-en-adj-qvdIs-Rl",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "correspondence",
          "correspondence"
        ],
        [
          "subfields",
          "subfields"
        ],
        [
          "radical",
          "radical"
        ],
        [
          "field extension",
          "field extension"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "cogroup",
          "cogroup"
        ],
        [
          "Galois group",
          "Galois group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Pertaining to the correspondence between subfields of a radical field extension with subgroups of a cogroup that is a Galois group."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cogalois"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "Galois"
      },
      "expansion": "co- + Galois",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + Galois.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cogalois (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with co-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "bold_text_offsets": [
            [
              58,
              66
            ]
          ],
          "ref": "2016, Marco Antonio Sánchez-Mirafuentes, Julio Cesar Salas-Torres, Gabriel Villa-Salvador, “Cogalois theory and Drinfeld modules”, in arXiv:",
          "text": "We show that, in the present form, there does not exist a cogalois theory for Drinfeld modules of rank or class number larger than one.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Pertaining to the correspondence between subfields of a radical field extension with subgroups of a cogroup that is a Galois group."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "correspondence",
          "correspondence"
        ],
        [
          "subfields",
          "subfields"
        ],
        [
          "radical",
          "radical"
        ],
        [
          "field extension",
          "field extension"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "cogroup",
          "cogroup"
        ],
        [
          "Galois group",
          "Galois group"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Pertaining to the correspondence between subfields of a radical field extension with subgroups of a cogroup that is a Galois group."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cogalois"
}

Download raw JSONL data for cogalois meaning in All languages combined (1.6kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-10 from the enwiktionary dump dated 2025-05-01 using wiktextract (85b9f46 and 1b6da77). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.