"left coset" meaning in All languages combined

See left coset on Wiktionary

Noun [English]

Forms: left cosets [plural]
Head templates: {{en-noun}} left coset (plural left cosets)
  1. (algebra) A left coset of a subgroup is a copy of that subgroup, multiplied on the left by some element from the parent group Categories (topical): Algebra, Group theory, Mathematics Translations (Translations): vasakpoolne kõrvalklass (Estonian), vasen sivuluokka (Finnish), classe lateral à esquerda (Portuguese), vänstersidoklass [common-gender] (Swedish)

Inflected forms

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    {
      "form": "left cosets",
      "tags": [
        "plural"
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  "head_templates": [
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      "expansion": "left coset (plural left cosets)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        {
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "name": "Group theory",
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        }
      ],
      "glosses": [
        "A left coset of a subgroup is a copy of that subgroup, multiplied on the left by some element from the parent group"
      ],
      "id": "en-left_coset-en-noun-uZ2fT3mB",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "left coset",
          "left coset"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "group",
          "group"
        ]
      ],
      "raw_glosses": [
        "(algebra) A left coset of a subgroup is a copy of that subgroup, multiplied on the left by some element from the parent group"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "et",
          "lang": "Estonian",
          "sense": "Translations",
          "word": "vasakpoolne kõrvalklass"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "vasen sivuluokka"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "Translations",
          "word": "classe lateral à esquerda"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "Translations",
          "tags": [
            "common-gender"
          ],
          "word": "vänstersidoklass"
        }
      ]
    }
  ],
  "word": "left coset"
}
{
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  "senses": [
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        "en:Algebra",
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      "glosses": [
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      ],
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        [
          "algebra",
          "algebra"
        ],
        [
          "left coset",
          "left coset"
        ],
        [
          "subgroup",
          "subgroup"
        ],
        [
          "group",
          "group"
        ]
      ],
      "raw_glosses": [
        "(algebra) A left coset of a subgroup is a copy of that subgroup, multiplied on the left by some element from the parent group"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "et",
      "lang": "Estonian",
      "sense": "Translations",
      "word": "vasakpoolne kõrvalklass"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "vasen sivuluokka"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Translations",
      "word": "classe lateral à esquerda"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "Translations",
      "tags": [
        "common-gender"
      ],
      "word": "vänstersidoklass"
    }
  ],
  "word": "left coset"
}

Download raw JSONL data for left coset meaning in All languages combined (1.5kB)


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 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.