"cogalois" meaning in English

See cogalois in All languages combined, or Wiktionary

Adjective

Etymology: 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 Categories (topical): Mathematics
    Sense id: en-cogalois-en-adj-qvdIs-Rl Categories (other): English entries with incorrect language header, English terms prefixed with co- Topics: mathematics, sciences

Download JSON data for cogalois meaning in English (1.8kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "Galois"
      },
      "expansion": "co- + Galois",
      "name": "prefix"
    }
  ],
  "etymology_text": "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": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "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": "quotation"
        }
      ],
      "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": "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",
        "en:Mathematics"
      ],
      "examples": [
        {
          "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": "quotation"
        }
      ],
      "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"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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.

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