integrally closed in English

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      "expansion": "integrally closed (not comparable)",
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      "glosses": [
        "Equal to its own integral closure in its field of fractions; equivalently, containing all integral elements of its field of fractions."
      ],
      "id": "en-integrally_closed-en-adj-b8PqjJc1",
      "links": [
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          "integral closure",
          "integral closure"
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      "raw_glosses": [
        "(commutative algebra, of an integral domain) Equal to its own integral closure in its field of fractions; equivalently, containing all integral elements of its field of fractions."
      ],
      "raw_tags": [
        "of an integral domain"
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      "tags": [
        "not-comparable"
      ],
      "wikipedia": [
        "Integrally closed domain"
      ]
    }
  ],
  "word": "integrally closed"
}

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{
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      "expansion": "integrally closed (not comparable)",
      "name": "en-adj"
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  "lang_code": "en",
  "pos": "adj",
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      "glosses": [
        "Equal to its own integral closure in its field of fractions; equivalently, containing all integral elements of its field of fractions."
      ],
      "links": [
        [
          "commutative algebra",
          "commutative algebra"
        ],
        [
          "integral domain",
          "integral domain"
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        [
          "integral closure",
          "integral closure"
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          "field of fractions"
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          "integral",
          "integral"
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        "(commutative algebra, of an integral domain) Equal to its own integral closure in its field of fractions; equivalently, containing all integral elements of its field of fractions."
      ],
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        "of an integral domain"
      ],
      "tags": [
        "not-comparable"
      ],
      "wikipedia": [
        "Integrally closed domain"
      ]
    }
  ],
  "word": "integrally closed"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.

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"integrally closed" meaning in English

Adjective