"decategorified" meaning in English

See decategorified in All languages combined, or Wiktionary

Adjective

Etymology: de- + categorified Etymology templates: {{prefix|en|de|categorified}} de- + categorified Head templates: {{en-adj|-}} decategorified (not comparable)
  1. (mathematics) Not represented in terms of category theory Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-decategorified-en-adj-1P5uWWJV Categories (other): English entries with incorrect language header, English terms prefixed with de- Topics: mathematics, sciences

Download JSON data for decategorified meaning in English (1.4kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "de",
        "3": "categorified"
      },
      "expansion": "de- + categorified",
      "name": "prefix"
    }
  ],
  "etymology_text": "de- + categorified",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "decategorified (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with de-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Olivier Dudas, Michela Varagnolo, Eric Vasserot, “Categorical actions on unipotent representations I. Finite unitary groups”, in arXiv",
          "text": "We show that the decategorified representation is naturally isomorphic to a direct sum of level 2 Fock spaces.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Not represented in terms of category theory"
      ],
      "id": "en-decategorified-en-adj-1P5uWWJV",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "category theory",
          "category theory"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Not represented in terms of category theory"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "decategorified"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "de",
        "3": "categorified"
      },
      "expansion": "de- + categorified",
      "name": "prefix"
    }
  ],
  "etymology_text": "de- + categorified",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "decategorified (not comparable)",
      "name": "en-adj"
    }
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
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      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with de-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Olivier Dudas, Michela Varagnolo, Eric Vasserot, “Categorical actions on unipotent representations I. Finite unitary groups”, in arXiv",
          "text": "We show that the decategorified representation is naturally isomorphic to a direct sum of level 2 Fock spaces.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Not represented in terms of category theory"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
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          "category theory"
        ]
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      "raw_glosses": [
        "(mathematics) Not represented in terms of category theory"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "decategorified"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-31 from the enwiktionary dump dated 2024-05-02 using wiktextract (91e95e7 and db5a844). 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.