discrete valuation ring in English

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{
  "forms": [
    {
      "form": "discrete valuation rings",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "discrete valuation ring (plural discrete valuation rings)",
      "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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      ],
      "glosses": [
        "A local principal ideal domain whose unique maximal ideal is not the zero ideal."
      ],
      "id": "en-discrete_valuation_ring-en-noun-ndlo6-hb",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "ring theory",
          "ring theory"
        ],
        [
          "local",
          "local"
        ],
        [
          "principal ideal domain",
          "principal ideal domain"
        ],
        [
          "maximal ideal",
          "maximal ideal"
        ],
        [
          "zero ideal",
          "zero ideal"
        ]
      ],
      "qualifier": "ring theory",
      "raw_glosses": [
        "(algebra, ring theory) A local principal ideal domain whose unique maximal ideal is not the zero ideal."
      ],
      "synonyms": [
        {
          "word": "DVR"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "discrete valuation ring"
      ]
    }
  ],
  "word": "discrete valuation ring"
}

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

{
  "forms": [
    {
      "form": "discrete valuation rings",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "discrete valuation ring (plural discrete valuation rings)",
      "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",
        "en:Algebra"
      ],
      "glosses": [
        "A local principal ideal domain whose unique maximal ideal is not the zero ideal."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "ring theory",
          "ring theory"
        ],
        [
          "local",
          "local"
        ],
        [
          "principal ideal domain",
          "principal ideal domain"
        ],
        [
          "maximal ideal",
          "maximal ideal"
        ],
        [
          "zero ideal",
          "zero ideal"
        ]
      ],
      "qualifier": "ring theory",
      "raw_glosses": [
        "(algebra, ring theory) A local principal ideal domain whose unique maximal ideal is not the zero ideal."
      ],
      "synonyms": [
        {
          "word": "DVR"
        }
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "discrete valuation ring"
      ]
    }
  ],
  "word": "discrete valuation ring"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-29 from the enwiktionary dump dated 2024-05-02 using wiktextract (9d9fc81 and db5a844). 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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"discrete valuation ring" meaning in English

Noun

Alternative forms