"Euclidean domain" meaning in English

{
  "etymology_text": "So called because for such domains it is possible to apply the Euclidean algorithm in order to obtain greatest common divisors.",
  "forms": [
    {
      "form": "Euclidean domains",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Euclidean domain (plural Euclidean domains)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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          "kind": "other",
          "name": "English entries with incorrect language header",
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            "Entries with incorrect language header",
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
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            "Formal sciences",
            "Sciences",
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            "Fundamental"
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        }
      ],
      "glosses": [
        "an integral domain in which division with remainder is possible"
      ],
      "hypernyms": [
        {
          "word": "principal ideal domain"
        }
      ],
      "id": "en-Euclidean_domain-en-noun-SKDh4aVP",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "integral domain",
          "integral domain#English"
        ],
        [
          "division",
          "division#English"
        ],
        [
          "remainder",
          "remainder#English"
        ]
      ],
      "meronyms": [
        {
          "word": "norm"
        }
      ],
      "raw_glosses": [
        "(algebra) an integral domain in which division with remainder is possible"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Euclidean domain"
      ]
    }
  ],
  "word": "Euclidean domain"
}

{
  "etymology_text": "So called because for such domains it is possible to apply the Euclidean algorithm in order to obtain greatest common divisors.",
  "forms": [
    {
      "form": "Euclidean domains",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Euclidean domain (plural Euclidean domains)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "principal ideal domain"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "meronyms": [
    {
      "word": "norm"
    }
  ],
  "pos": "noun",
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      ],
      "glosses": [
        "an integral domain in which division with remainder is possible"
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "integral domain",
          "integral domain#English"
        ],
        [
          "division",
          "division#English"
        ],
        [
          "remainder",
          "remainder#English"
        ]
      ],
      "raw_glosses": [
        "(algebra) an integral domain in which division with remainder is possible"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Euclidean domain"
      ]
    }
  ],
  "word": "Euclidean domain"
}