"Noetherian domain" meaning in English

See Noetherian domain in All languages combined, or Wiktionary

Noun

IPA: /nə.ˈtɛ.ɹi.ən doʊ̯.ˈmeɪ̯n/ [US] Forms: Noetherian domains [plural]
Etymology: Named after Emmy Noether (1882–1935), German mathematician. Head templates: {{en-noun}} Noetherian domain (plural Noetherian domains)
  1. A Noetherian ring which is also an integral domain. Wikipedia link: Emmy Noether Synonyms: Noetherian integral domain Hypernyms: Noetherian ring Hypernyms (integral domain): commutative ring Hyponyms: Dedekind domain Hyponyms (Euclidean domain): field

Inflected forms

Download JSON data for Noetherian domain meaning in English (1.5kB)

{
  "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": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "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"
}
{
  "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 entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with IPA pronunciation",
        "English terms with non-redundant non-automated sortkeys",
        "IPA for English using .ˈ or .ˌ"
      ],
      "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 2024-05-03 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.

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.