"additive identity" meaning in All languages combined

{
  "forms": [
    {
      "form": "additive identities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "additive identity (plural additive 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": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Danish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Hungarian translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Portuguese translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Swedish translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Thai 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 an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure."
      ],
      "id": "en-additive_identity-en-noun-wYZcRRg0",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "identity",
          "identity"
        ],
        [
          "additive operation",
          "additive operation"
        ]
      ],
      "raw_glosses": [
        "(algebra) An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure."
      ],
      "related": [
        {
          "word": "multiplicative identity"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "da",
          "lang": "Danish",
          "sense": "mathematics",
          "tags": [
            "neuter"
          ],
          "word": "nulelement"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "mathematics",
          "word": "yhteenlaskun neutraalialkio"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "mathematics",
          "tags": [
            "feminine"
          ],
          "word": "additive Identität"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "mathematics",
          "word": "additív egységelem"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "mathematics",
          "tags": [
            "feminine"
          ],
          "word": "identidade aditiva"
        },
        {
          "code": "pt",
          "lang": "Portuguese",
          "sense": "mathematics",
          "tags": [
            "masculine"
          ],
          "word": "neutro aditivo"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "mathematics",
          "word": "additativ identitet"
        },
        {
          "code": "th",
          "lang": "Thai",
          "sense": "mathematics",
          "word": "เอกลักษณ์การบวก"
        }
      ],
      "wikipedia": [
        "additive identity"
      ]
    }
  ],
  "word": "additive identity"
}

{
  "forms": [
    {
      "form": "additive identities",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "additive identity (plural additive identities)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "multiplicative identity"
    }
  ],
  "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",
        "Pages with entries",
        "Terms with Danish translations",
        "Terms with Finnish translations",
        "Terms with German translations",
        "Terms with Hungarian translations",
        "Terms with Portuguese translations",
        "Terms with Swedish translations",
        "Terms with Thai translations",
        "en:Algebra"
      ],
      "glosses": [
        "An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "identity",
          "identity"
        ],
        [
          "additive operation",
          "additive operation"
        ]
      ],
      "raw_glosses": [
        "(algebra) An element of an algebraic structure, generally denoted 0, which is an identity for an additive operation (generally denoted +). That is, x + 0 = 0 + x = x for any x in the structure."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "additive identity"
      ]
    }
  ],
  "translations": [
    {
      "code": "da",
      "lang": "Danish",
      "sense": "mathematics",
      "tags": [
        "neuter"
      ],
      "word": "nulelement"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "mathematics",
      "word": "yhteenlaskun neutraalialkio"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "mathematics",
      "tags": [
        "feminine"
      ],
      "word": "additive Identität"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "mathematics",
      "word": "additív egységelem"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "mathematics",
      "tags": [
        "feminine"
      ],
      "word": "identidade aditiva"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "mathematics",
      "tags": [
        "masculine"
      ],
      "word": "neutro aditivo"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "mathematics",
      "word": "additativ identitet"
    },
    {
      "code": "th",
      "lang": "Thai",
      "sense": "mathematics",
      "word": "เอกลักษณ์การบวก"
    }
  ],
  "word": "additive identity"
}