"left identity" meaning in All languages combined

{
  "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"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "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": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "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"
}