"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
    Sense id: en-split_epimorphism-en-noun-K9IIxWoT Categories (other): English entries with incorrect language header Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

Inflected forms

Download JSONL data for split epimorphism meaning in All languages combined (1.2kB)

{
  "forms": [
    {
      "form": "split epimorphisms",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "split epimorphism (plural split epimorphisms)",
      "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": "topical",
          "langcode": "en",
          "name": "Category theory",
          "orig": "en:Category theory",
          "parents": [
            "Mathematics",
            "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": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "split epimorphism (plural split epimorphisms)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "epimorphism"
    }
  ],
  "hyponyms": [
    {
      "word": "isomorphism"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Category theory"
      ],
      "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-07-01 from the enwiktionary dump dated 2024-06-20 using wiktextract (e79c026 and b863ecc). 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.