"可換群" meaning in All languages combined

See 可換群 on Wiktionary

Noun [日本語]

Forms: かかんぐん
  1. 交換律が成り立つ群。二項演算を ◦ とすると、任意の要素 a, b について a ◦ b = b ◦ a が成り立つ群。アーベル群。
    Sense id: ja-可換群-ja-noun-EtTNspfB Categories (other): 日本語 代数学 Topics: algebra
The following are not (yet) sense-disambiguated
Categories (other): 日本語, 日本語_名詞
{
  "categories": [
    {
      "kind": "other",
      "name": "日本語",
      "parents": [],
      "source": "w"
    },
    {
      "kind": "other",
      "name": "日本語_名詞",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "かかんぐん"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 代数学",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "交換律が成り立つ群。二項演算を ◦ とすると、任意の要素 a, b について a ◦ b = b ◦ a が成り立つ群。アーベル群。"
      ],
      "id": "ja-可換群-ja-noun-EtTNspfB",
      "topics": [
        "algebra"
      ]
    }
  ],
  "word": "可換群"
}
{
  "categories": [
    "日本語",
    "日本語_名詞"
  ],
  "forms": [
    {
      "form": "かかんぐん"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "senses": [
    {
      "categories": [
        "日本語 代数学"
      ],
      "glosses": [
        "交換律が成り立つ群。二項演算を ◦ とすると、任意の要素 a, b について a ◦ b = b ◦ a が成り立つ群。アーベル群。"
      ],
      "topics": [
        "algebra"
      ]
    }
  ],
  "word": "可換群"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-13 from the jawiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). 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.