"Grothendieck group" meaning in English

See Grothendieck group in All languages combined, or Wiktionary

Noun

Forms: Grothendieck groups [plural]
Etymology: After Alexander Grothendieck. Head templates: {{en-noun}} Grothendieck group (plural Grothendieck groups)
  1. (mathematics) An abelian group constructed from a commutative monoid in a universal way. Wikipedia link: Alexander Grothendieck, Grothendieck group Categories (topical): Mathematics
    Sense id: en-Grothendieck_group-en-noun-buyBm4QE Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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  "etymology_text": "After Alexander Grothendieck.",
  "forms": [
    {
      "form": "Grothendieck groups",
      "tags": [
        "plural"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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          "source": "w"
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An abelian group constructed from a commutative monoid in a universal way."
      ],
      "id": "en-Grothendieck_group-en-noun-buyBm4QE",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "abelian group",
          "abelian group"
        ],
        [
          "commutative",
          "commutative"
        ],
        [
          "monoid",
          "monoid"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An abelian group constructed from a commutative monoid in a universal way."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Alexander Grothendieck",
        "Grothendieck group"
      ]
    }
  ],
  "word": "Grothendieck group"
}
{
  "etymology_text": "After Alexander Grothendieck.",
  "forms": [
    {
      "form": "Grothendieck groups",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Grothendieck group (plural Grothendieck groups)",
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    }
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
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        "en:Mathematics"
      ],
      "glosses": [
        "An abelian group constructed from a commutative monoid in a universal way."
      ],
      "links": [
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        ],
        [
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        ],
        [
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        ],
        [
          "monoid",
          "monoid"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An abelian group constructed from a commutative monoid in a universal way."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
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        "Alexander Grothendieck",
        "Grothendieck group"
      ]
    }
  ],
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}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.