abelian category in English

[Show JSON for postprocessed kaikki.org data shown on this page ▼] [Hide JSON for postprocessed kaikki.org data shown on this page ▲]

{
  "forms": [
    {
      "form": "abelian categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "abelian category (plural abelian categories)",
      "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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A pre-abelian category such that all monomorphisms are kernels of some morphism, and all epimorphisms are cokernels of some morphism."
      ],
      "hypernyms": [
        {
          "word": "preadditive category"
        },
        {
          "word": "additive category"
        },
        {
          "word": "pre-abelian category"
        }
      ],
      "id": "en-abelian_category-en-noun-E11cccs1",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "pre-abelian category",
          "pre-abelian category"
        ],
        [
          "monomorphisms",
          "monomorphism"
        ],
        [
          "kernels",
          "kernel"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "epimorphisms",
          "epimorphism"
        ],
        [
          "cokernels",
          "cokernel"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A pre-abelian category such that all monomorphisms are kernels of some morphism, and all epimorphisms are cokernels of some morphism."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "abelian category"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "forms": [
    {
      "form": "abelian categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "abelian category (plural abelian categories)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "preadditive category"
    },
    {
      "word": "additive category"
    },
    {
      "word": "pre-abelian category"
    }
  ],
  "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",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A pre-abelian category such that all monomorphisms are kernels of some morphism, and all epimorphisms are cokernels of some morphism."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "pre-abelian category",
          "pre-abelian category"
        ],
        [
          "monomorphisms",
          "monomorphism"
        ],
        [
          "kernels",
          "kernel"
        ],
        [
          "morphism",
          "morphism"
        ],
        [
          "epimorphisms",
          "epimorphism"
        ],
        [
          "cokernels",
          "cokernel"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A pre-abelian category such that all monomorphisms are kernels of some morphism, and all epimorphisms are cokernels of some morphism."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "abelian category"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-08 from the enwiktionary dump dated 2025-04-03 using wiktextract (51d164f and fb63907). 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.

"abelian category" meaning in English

Noun