preadditive category in English

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{
  "forms": [
    {
      "form": "preadditive categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "preadditive category (plural preadditive 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"
        },
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          "name": "Pages with 1 entry",
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        },
        {
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          "parents": [],
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A category which is enriched over the category Ab of abelian groups; that is, each hom-set is equipped with an abelian group structure, and composition is distributive over the group operations of each hom-set."
      ],
      "hyponyms": [
        {
          "word": "additive category"
        },
        {
          "word": "pre-abelian category"
        },
        {
          "word": "abelian category"
        }
      ],
      "id": "en-preadditive_category-en-noun-XohcKz1q",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "category",
          "category"
        ],
        [
          "enriched over",
          "enrich over"
        ],
        [
          "abelian groups",
          "abelian group"
        ],
        [
          "hom-set",
          "hom-set"
        ],
        [
          "equipped",
          "equip"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "composition",
          "composition"
        ],
        [
          "distributive",
          "distributive"
        ],
        [
          "group operations",
          "group operation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A category which is enriched over the category Ab of abelian groups; that is, each hom-set is equipped with an abelian group structure, and composition is distributive over the group operations of each hom-set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "preadditive category"
}

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

{
  "forms": [
    {
      "form": "preadditive categories",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "preadditive category (plural preadditive categories)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "word": "additive category"
    },
    {
      "word": "pre-abelian category"
    },
    {
      "word": "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 category which is enriched over the category Ab of abelian groups; that is, each hom-set is equipped with an abelian group structure, and composition is distributive over the group operations of each hom-set."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "category",
          "category"
        ],
        [
          "enriched over",
          "enrich over"
        ],
        [
          "abelian groups",
          "abelian group"
        ],
        [
          "hom-set",
          "hom-set"
        ],
        [
          "equipped",
          "equip"
        ],
        [
          "structure",
          "structure"
        ],
        [
          "composition",
          "composition"
        ],
        [
          "distributive",
          "distributive"
        ],
        [
          "group operations",
          "group operation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A category which is enriched over the category Ab of abelian groups; that is, each hom-set is equipped with an abelian group structure, and composition is distributive over the group operations of each hom-set."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "preadditive category"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-04-13 from the enwiktionary dump dated 2025-04-03 using wiktextract (aeaf2a1 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.

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"preadditive category" meaning in English

Noun

Alternative forms