different ideal in English

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{
  "forms": [
    {
      "form": "different ideals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "different ideal (plural different ideals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Number theory",
          "orig": "en:Number theory",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A measure of the lack of duality in the ring of integers of an algebraic number field K with respect to the field trace."
      ],
      "id": "en-different_ideal-en-noun-UzV1mxT1",
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "lack",
          "lack"
        ],
        [
          "duality",
          "duality"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "algebraic number field",
          "algebraic number field"
        ]
      ],
      "raw_glosses": [
        "(number theory) A measure of the lack of duality in the ring of integers of an algebraic number field K with respect to the field trace."
      ],
      "synonyms": [
        {
          "word": "different"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "different ideal"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "forms": [
    {
      "form": "different ideals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "different ideal (plural different ideals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Number theory"
      ],
      "glosses": [
        "A measure of the lack of duality in the ring of integers of an algebraic number field K with respect to the field trace."
      ],
      "links": [
        [
          "number theory",
          "number theory"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "lack",
          "lack"
        ],
        [
          "duality",
          "duality"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "algebraic number field",
          "algebraic number field"
        ]
      ],
      "raw_glosses": [
        "(number theory) A measure of the lack of duality in the ring of integers of an algebraic number field K with respect to the field trace."
      ],
      "synonyms": [
        {
          "word": "different"
        }
      ],
      "topics": [
        "mathematics",
        "number-theory",
        "sciences"
      ]
    }
  ],
  "word": "different ideal"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-03-11 from the enwiktionary dump dated 2026-03-03 using wiktextract (602557e and 59dc20b). 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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"different ideal" meaning in English

Noun