Noetherian domain in English

[Show JSON for postprocessed kaikki.org data shown on this page ▼] [Hide JSON for postprocessed kaikki.org data shown on this page ▲]

{
  "etymology_text": "Named after Emmy Noether (1882–1935), German mathematician.",
  "forms": [
    {
      "form": "Noetherian domains",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Noetherian domain (plural Noetherian domains)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "A Noetherian ring which is also an integral domain."
      ],
      "hypernyms": [
        {
          "word": "Noetherian ring"
        },
        {
          "sense": "integral domain",
          "word": "commutative ring"
        }
      ],
      "hyponyms": [
        {
          "sense": "Euclidean domain",
          "word": "field"
        },
        {
          "word": "Dedekind domain"
        }
      ],
      "id": "en-Noetherian_domain-en-noun-lWUX5z0k",
      "links": [
        [
          "Noetherian ring",
          "Noetherian ring"
        ],
        [
          "integral domain",
          "integral domain"
        ]
      ],
      "synonyms": [
        {
          "word": "Noetherian integral domain"
        }
      ],
      "wikipedia": [
        "Emmy Noether"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/nə.ˈtɛ.ɹi.ən doʊ̯.ˈmeɪ̯n/",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "Noetherian domain"
}

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

{
  "etymology_text": "Named after Emmy Noether (1882–1935), German mathematician.",
  "forms": [
    {
      "form": "Noetherian domains",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Noetherian domain (plural Noetherian domains)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "Noetherian ring"
    },
    {
      "sense": "integral domain",
      "word": "commutative ring"
    }
  ],
  "hyponyms": [
    {
      "sense": "Euclidean domain",
      "word": "field"
    },
    {
      "word": "Dedekind domain"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "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"
      ],
      "glosses": [
        "A Noetherian ring which is also an integral domain."
      ],
      "links": [
        [
          "Noetherian ring",
          "Noetherian ring"
        ],
        [
          "integral domain",
          "integral domain"
        ]
      ],
      "wikipedia": [
        "Emmy Noether"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/nə.ˈtɛ.ɹi.ən doʊ̯.ˈmeɪ̯n/",
      "tags": [
        "US"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "Noetherian integral domain"
    }
  ],
  "word": "Noetherian domain"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.

"Noetherian domain" meaning in English

Noun

Inflected forms