"bicrossproduct" meaning in All languages combined

See bicrossproduct on Wiktionary

Noun [English]

Forms: bicrossproducts [plural]
Etymology: From bi- + cross product. Etymology templates: {{prefix|en|bi|cross product}} bi- + cross product Head templates: {{en-noun}} bicrossproduct (plural bicrossproducts)
  1. (mathematics) A group constructed from two subgroups by generalization of the direct and semidirect products. Wikipedia link: Zappa–Szép product Categories (topical): Mathematics Synonyms: knit product [mathematics, sciences], Zappa–Szép product [mathematics, sciences] Related terms: crossproduct
    Sense id: en-bicrossproduct-en-noun-lHdDGJcm Categories (other): English entries with incorrect language header, English terms prefixed with bi-, Pages with 1 entry Topics: mathematics, sciences

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "cross product"
      },
      "expansion": "bi- + cross product",
      "name": "prefix"
    }
  ],
  "etymology_text": "From bi- + cross product.",
  "forms": [
    {
      "form": "bicrossproducts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bicrossproduct (plural bicrossproducts)",
      "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": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A group constructed from two subgroups by generalization of the direct and semidirect products."
      ],
      "id": "en-bicrossproduct-en-noun-lHdDGJcm",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "group",
          "group"
        ],
        [
          "construct",
          "construct"
        ],
        [
          "subgroups",
          "subgroups"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A group constructed from two subgroups by generalization of the direct and semidirect products."
      ],
      "related": [
        {
          "word": "crossproduct"
        }
      ],
      "synonyms": [
        {
          "topics": [
            "mathematics",
            "sciences"
          ],
          "word": "knit product"
        },
        {
          "topics": [
            "mathematics",
            "sciences"
          ],
          "word": "Zappa–Szép product"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Zappa–Szép product"
      ]
    }
  ],
  "word": "bicrossproduct"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "bi",
        "3": "cross product"
      },
      "expansion": "bi- + cross product",
      "name": "prefix"
    }
  ],
  "etymology_text": "From bi- + cross product.",
  "forms": [
    {
      "form": "bicrossproducts",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bicrossproduct (plural bicrossproducts)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "crossproduct"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with bi-",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "glosses": [
        "A group constructed from two subgroups by generalization of the direct and semidirect products."
      ],
      "links": [
        [
          "mathematics",
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        ],
        [
          "group",
          "group"
        ],
        [
          "construct",
          "construct"
        ],
        [
          "subgroups",
          "subgroups"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A group constructed from two subgroups by generalization of the direct and semidirect products."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Zappa–Szép product"
      ]
    }
  ],
  "synonyms": [
    {
      "topics": [
        "mathematics",
        "sciences"
      ],
      "word": "knit product"
    },
    {
      "topics": [
        "mathematics",
        "sciences"
      ],
      "word": "Zappa–Szép product"
    }
  ],
  "word": "bicrossproduct"
}

Download raw JSONL data for bicrossproduct meaning in All languages combined (1.2kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.