"bimonoid" meaning in All languages combined

See bimonoid on Wiktionary

Noun [English]

Forms: bimonoids [plural]
Etymology: bi- + monoid Etymology templates: {{prefix|en|bi|monoid}} bi- + monoid Head templates: {{en-noun}} bimonoid (plural bimonoids)
  1. (mathematics) A monoid that is also a comonoid Categories (topical): Mathematics Hypernyms: monoid Hyponyms: bicommutative bimonoid
    Sense id: en-bimonoid-en-noun-VTGb6zh1 Categories (other): English entries with incorrect language header, English terms prefixed with bi- Topics: mathematics, sciences

Inflected forms

Download JSON data for bimonoid meaning in All languages combined (1.4kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "monoid"
      },
      "expansion": "bi- + monoid",
      "name": "prefix"
    }
  ],
  "etymology_text": "bi- + monoid",
  "forms": [
    {
      "form": "bimonoids",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bimonoid (plural bimonoids)",
      "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": "English terms prefixed with bi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Gabriella Böhm, Stephen Lack, “A category of multiplier bimonoids”, in arXiv",
          "text": "The central object studied in this paper is a multiplier bimonoid in a braided monoidal category C.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A monoid that is also a comonoid"
      ],
      "hypernyms": [
        {
          "word": "monoid"
        }
      ],
      "hyponyms": [
        {
          "word": "bicommutative bimonoid"
        }
      ],
      "id": "en-bimonoid-en-noun-VTGb6zh1",
      "links": [
        [
          "mathematics",
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        ],
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        ],
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          "comonoid"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A monoid that is also a comonoid"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "bimonoid"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "monoid"
      },
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      "name": "prefix"
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  ],
  "etymology_text": "bi- + monoid",
  "forms": [
    {
      "form": "bimonoids",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bimonoid (plural bimonoids)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "monoid"
    }
  ],
  "hyponyms": [
    {
      "word": "bicommutative bimonoid"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
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      "examples": [
        {
          "ref": "2015, Gabriella Böhm, Stephen Lack, “A category of multiplier bimonoids”, in arXiv",
          "text": "The central object studied in this paper is a multiplier bimonoid in a braided monoidal category C.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A monoid that is also a comonoid"
      ],
      "links": [
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        ]
      ],
      "raw_glosses": [
        "(mathematics) A monoid that is also a comonoid"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "bimonoid"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-18 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.