"split epimorphism" meaning in All languages combined

See split epimorphism on Wiktionary

Noun [English]

Forms: split epimorphisms [plural]
Head templates: {{en-noun}} split epimorphism (plural split epimorphisms)
  1. (category theory) A morphism which has a right inverse. Categories (topical): Category theory Synonyms: split epic Hypernyms: epimorphism Hyponyms: isomorphism

Inflected forms

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  "forms": [
    {
      "form": "split epimorphisms",
      "tags": [
        "plural"
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    }
  ],
  "head_templates": [
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      "expansion": "split epimorphism (plural split epimorphisms)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w"
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A morphism which has a right inverse."
      ],
      "hypernyms": [
        {
          "word": "epimorphism"
        }
      ],
      "hyponyms": [
        {
          "word": "isomorphism"
        }
      ],
      "id": "en-split_epimorphism-en-noun-K9IIxWoT",
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "right inverse",
          "right inverse"
        ]
      ],
      "raw_glosses": [
        "(category theory) A morphism which has a right inverse."
      ],
      "synonyms": [
        {
          "word": "split epic"
        }
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "word": "split epimorphism"
}
{
  "forms": [
    {
      "form": "split epimorphisms",
      "tags": [
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      ]
    }
  ],
  "head_templates": [
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  "hyponyms": [
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  "lang": "English",
  "lang_code": "en",
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        "en:Category theory"
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      "glosses": [
        "A morphism which has a right inverse."
      ],
      "links": [
        [
          "category theory",
          "category theory"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "right inverse",
          "right inverse"
        ]
      ],
      "raw_glosses": [
        "(category theory) A morphism which has a right inverse."
      ],
      "topics": [
        "category-theory",
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "split epic"
    }
  ],
  "word": "split epimorphism"
}

Download raw JSONL data for split epimorphism meaning in All languages combined (1.0kB)


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.