"left identity" meaning in All languages combined

See left identity on Wiktionary

Noun [English]

Forms: left identities [plural]
Head templates: {{en-noun}} left identity (plural left identities)
  1. (algebra) An element of a structure that produces an identity mapping when applied on the left. Categories (topical): Algebra Related terms: identity element Translations (element that produces an identity mapping when applied on the left): elemento neutro por la izquierda (Spanish)

Inflected forms

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  "forms": [
    {
      "form": "left identities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "left identity (plural left identities)",
      "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"
        },
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          "parents": [],
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Spanish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An element of a structure that produces an identity mapping when applied on the left."
      ],
      "id": "en-left_identity-en-noun-reCGVlYB",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "identity",
          "identity"
        ]
      ],
      "raw_glosses": [
        "(algebra) An element of a structure that produces an identity mapping when applied on the left."
      ],
      "related": [
        {
          "word": "identity element"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "element that produces an identity mapping when applied on the left",
          "word": "elemento neutro por la izquierda"
        }
      ]
    }
  ],
  "word": "left identity"
}
{
  "forms": [
    {
      "form": "left identities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "left identity (plural left identities)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "identity element"
    }
  ],
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Spanish translations",
        "en:Algebra"
      ],
      "glosses": [
        "An element of a structure that produces an identity mapping when applied on the left."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "identity",
          "identity"
        ]
      ],
      "raw_glosses": [
        "(algebra) An element of a structure that produces an identity mapping when applied on the left."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "element that produces an identity mapping when applied on the left",
      "word": "elemento neutro por la izquierda"
    }
  ],
  "word": "left identity"
}

Download raw JSONL data for left identity meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.