"商集合" meaning in All languages combined

See 商集合 on Wiktionary

Noun [日本語]

Forms: しょうしゅうごう
  1. ある同値関係を使って集合を同値類に分けたときの、存在しうる全ての同値類から成る集合。同値類系ともいう。
    Sense id: ja-商集合-ja-noun-1hNZuULD Categories (other): 日本語 代数学, 日本語 集合論 Topics: algebra, set theory
The following are not (yet) sense-disambiguated
Related terms: 類別, 代表元, 完全代表系
Categories (other): 日本語, 日本語_名詞
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  ],
  "forms": [
    {
      "form": "しょうしゅうごう"
    }
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  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
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      "word": "類別"
    },
    {
      "word": "代表元"
    },
    {
      "word": "完全代表系"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "日本語 代数学",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "日本語 集合論",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "ある同値関係を使って集合を同値類に分けたときの、存在しうる全ての同値類から成る集合。同値類系ともいう。"
      ],
      "id": "ja-商集合-ja-noun-1hNZuULD",
      "topics": [
        "algebra",
        "set theory"
      ]
    }
  ],
  "word": "商集合"
}
{
  "categories": [
    "日本語",
    "日本語_名詞"
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  "forms": [
    {
      "form": "しょうしゅうごう"
    }
  ],
  "lang": "日本語",
  "lang_code": "ja",
  "pos": "noun",
  "pos_title": "名詞",
  "related": [
    {
      "word": "類別"
    },
    {
      "word": "代表元"
    },
    {
      "word": "完全代表系"
    }
  ],
  "senses": [
    {
      "categories": [
        "日本語 代数学",
        "日本語 集合論"
      ],
      "glosses": [
        "ある同値関係を使って集合を同値類に分けたときの、存在しうる全ての同値類から成る集合。同値類系ともいう。"
      ],
      "topics": [
        "algebra",
        "set theory"
      ]
    }
  ],
  "word": "商集合"
}

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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 2024-12-21 from the jawiktionary dump dated 2024-12-20 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.