"coproduct" meaning in All languages combined

See coproduct on Wiktionary

Noun [English]

Forms: coproducts [plural]
Etymology: From co- + product. Etymology templates: {{prefix|en|co|product}} co- + product Head templates: {{en-noun}} coproduct (plural coproducts)
  1. Any of multiple products that are produced at the same time, or by the same process Translations (mathematical structure): Koprodukt [neuter] (German), копроизведение (koproizvedenije) [neuter] (Russian)
    Sense id: en-coproduct-en-noun-fFGfJpVm Categories (other): English entries with incorrect language header, English terms prefixed with co-, Entries with translation boxes, Pages with 1 entry, Pages with entries, Terms with German translations, Terms with Russian translations Disambiguation of English entries with incorrect language header: 70 30 Disambiguation of English terms prefixed with co-: 58 42 Disambiguation of Entries with translation boxes: 63 37 Disambiguation of Pages with 1 entry: 72 28 Disambiguation of Pages with entries: 79 21 Disambiguation of Terms with German translations: 73 27 Disambiguation of Terms with Russian translations: 73 27 Disambiguation of 'mathematical structure': 62 38
  2. (mathematics) The colimit of two (or more) objects, without regard to any morphisms between them. Categories (topical): Mathematics Hyponyms: disjoint union, direct sum, free product, wedge sum
    Sense id: en-coproduct-en-noun-yrp9DqF4 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Related terms: product, categorical product

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "product"
      },
      "expansion": "co- + product",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + product.",
  "forms": [
    {
      "form": "coproducts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coproduct (plural coproducts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "_dis1": "0 0",
      "word": "product"
    },
    {
      "_dis1": "0 0",
      "word": "categorical product"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "_dis": "70 30",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "58 42",
          "kind": "other",
          "name": "English terms prefixed with co-",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "63 37",
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "72 28",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "79 21",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "73 27",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "73 27",
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Any of multiple products that are produced at the same time, or by the same process"
      ],
      "id": "en-coproduct-en-noun-fFGfJpVm",
      "links": [
        [
          "product",
          "product"
        ]
      ],
      "translations": [
        {
          "_dis1": "62 38",
          "code": "de",
          "lang": "German",
          "sense": "mathematical structure",
          "tags": [
            "neuter"
          ],
          "word": "Koprodukt"
        },
        {
          "_dis1": "62 38",
          "code": "ru",
          "lang": "Russian",
          "roman": "koproizvedenije",
          "sense": "mathematical structure",
          "tags": [
            "neuter"
          ],
          "word": "копроизведение"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Meronym: inclusion"
        },
        {
          "text": "The coproduct is a structure constructed from several similar structures, equipped with appropriate inclusion maps, which generalises the disjoint union of sets, of topological spaces and the free product of groups.",
          "type": "example"
        }
      ],
      "glosses": [
        "The colimit of two (or more) objects, without regard to any morphisms between them."
      ],
      "hyponyms": [
        {
          "word": "disjoint union"
        },
        {
          "word": "direct sum"
        },
        {
          "word": "free product"
        },
        {
          "word": "wedge sum"
        }
      ],
      "id": "en-coproduct-en-noun-yrp9DqF4",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "colimit",
          "colimit"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The colimit of two (or more) objects, without regard to any morphisms between them."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "coproduct"
  ],
  "word": "coproduct"
}
{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with co-",
    "Entries with translation boxes",
    "Pages with 1 entry",
    "Pages with entries",
    "Terms with German translations",
    "Terms with Russian translations"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "product"
      },
      "expansion": "co- + product",
      "name": "prefix"
    }
  ],
  "etymology_text": "From co- + product.",
  "forms": [
    {
      "form": "coproducts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "coproduct (plural coproducts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "product"
    },
    {
      "word": "categorical product"
    }
  ],
  "senses": [
    {
      "glosses": [
        "Any of multiple products that are produced at the same time, or by the same process"
      ],
      "links": [
        [
          "product",
          "product"
        ]
      ]
    },
    {
      "categories": [
        "English terms with usage examples",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "Meronym: inclusion"
        },
        {
          "text": "The coproduct is a structure constructed from several similar structures, equipped with appropriate inclusion maps, which generalises the disjoint union of sets, of topological spaces and the free product of groups.",
          "type": "example"
        }
      ],
      "glosses": [
        "The colimit of two (or more) objects, without regard to any morphisms between them."
      ],
      "hyponyms": [
        {
          "word": "disjoint union"
        },
        {
          "word": "direct sum"
        },
        {
          "word": "free product"
        },
        {
          "word": "wedge sum"
        }
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "colimit",
          "colimit"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The colimit of two (or more) objects, without regard to any morphisms between them."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematical structure",
      "tags": [
        "neuter"
      ],
      "word": "Koprodukt"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "koproizvedenije",
      "sense": "mathematical structure",
      "tags": [
        "neuter"
      ],
      "word": "копроизведение"
    }
  ],
  "wikipedia": [
    "coproduct"
  ],
  "word": "coproduct"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.