"Kummer ring" meaning in English

See Kummer ring in All languages combined, or Wiktionary

Noun

Forms: Kummer rings [plural]
Etymology: Named after Ernst Kummer (1810–1893), a German mathematician. Head templates: {{en-noun}} Kummer ring (plural Kummer rings)
  1. (algebra) A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers. Wikipedia link: Ernst Kummer Holonyms: cyclotomic field Meronyms: cyclotomic integer
    Sense id: en-Kummer_ring-en-noun-r9Wf1sax Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Algebra Topics: algebra, mathematics, sciences

Inflected forms

{
  "etymology_text": "Named after Ernst Kummer (1810–1893), a German mathematician.",
  "forms": [
    {
      "form": "Kummer rings",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kummer ring (plural Kummer rings)",
      "name": "en-noun"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
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          "parents": [],
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        },
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        {
          "kind": "other",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
      ],
      "holonyms": [
        {
          "word": "cyclotomic field"
        }
      ],
      "id": "en-Kummer_ring-en-noun-r9Wf1sax",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "ring",
          "ring#English"
        ],
        [
          "adjoining",
          "adjoin#English"
        ],
        [
          "complex",
          "complex#English"
        ],
        [
          "root of unity",
          "root of unity"
        ],
        [
          "prime number",
          "prime number#English"
        ],
        [
          "integers",
          "integer#English"
        ]
      ],
      "meronyms": [
        {
          "word": "cyclotomic integer"
        }
      ],
      "raw_glosses": [
        "(algebra) A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Ernst Kummer"
      ]
    }
  ],
  "word": "Kummer ring"
}
{
  "etymology_text": "Named after Ernst Kummer (1810–1893), a German mathematician.",
  "forms": [
    {
      "form": "Kummer rings",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Kummer ring (plural Kummer rings)",
      "name": "en-noun"
    }
  ],
  "holonyms": [
    {
      "word": "cyclotomic field"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "meronyms": [
    {
      "word": "cyclotomic integer"
    }
  ],
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Algebra"
      ],
      "glosses": [
        "A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "ring",
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        ],
        [
          "adjoining",
          "adjoin#English"
        ],
        [
          "complex",
          "complex#English"
        ],
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          "root of unity",
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        ],
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          "prime number",
          "prime number#English"
        ],
        [
          "integers",
          "integer#English"
        ]
      ],
      "raw_glosses": [
        "(algebra) A ring obtained by adjoining a non-real complex pᵗʰ root of unity (where p is a prime number) to the ring of integers."
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Ernst Kummer"
      ]
    }
  ],
  "word": "Kummer ring"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-01-03 from the enwiktionary dump dated 2026-01-01 using wiktextract (96027d6 and 9905b1f). 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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