"noetherian" meaning in All languages combined

See noetherian on Wiktionary

Adjective [English]

Etymology: From Emmy Noether. Head templates: {{en-adj|-}} noetherian (not comparable)
  1. (algebra) Satisfying some (usually ascending) chain condition:
    (of a ring) In which any ascending chain of ideals eventually becomes constant.
    Tags: not-comparable Categories (topical): Algebra, Mathematics
    Sense id: en-noetherian-en-adj-en:ring Disambiguation of Mathematics: 18 18 18 18 9 18 Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 19 19 19 19 8 15 Disambiguation of English entries with language name categories using raw markup: 19 19 19 19 6 17 Disambiguation of English entries with topic categories using raw markup: 19 19 19 19 5 19 Topics: algebra, mathematics, sciences
  2. (algebra) Satisfying some (usually ascending) chain condition:
    (of a module) In which any ascending chain of submodules eventually becomes constant.
    Tags: not-comparable Categories (topical): Algebra, Mathematics
    Sense id: en-noetherian-en-adj-YHa-pN3q Disambiguation of Mathematics: 18 18 18 18 9 18 Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 19 19 19 19 8 15 Disambiguation of English entries with language name categories using raw markup: 19 19 19 19 6 17 Disambiguation of English entries with topic categories using raw markup: 19 19 19 19 5 19 Topics: algebra, mathematics, sciences
  3. (algebra) Satisfying some (usually ascending) chain condition:
    (of a group) In which any ascending chain of subgroups eventually becomes constant.
    Tags: not-comparable Categories (topical): Algebra, Mathematics
    Sense id: en-noetherian-en-adj-x4nTr~TI Disambiguation of Mathematics: 18 18 18 18 9 18 Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 19 19 19 19 8 15 Disambiguation of English entries with language name categories using raw markup: 19 19 19 19 6 17 Disambiguation of English entries with topic categories using raw markup: 19 19 19 19 5 19 Topics: algebra, mathematics, sciences
  4. (algebra) Satisfying some (usually ascending) chain condition:
    (of a topological space) In which any ascending chain of open subsets eventually becomes constant.
    Tags: not-comparable Categories (topical): Algebra, Mathematics
    Sense id: en-noetherian-en-adj-ix2a6oIy Disambiguation of Mathematics: 18 18 18 18 9 18 Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 19 19 19 19 8 15 Disambiguation of English entries with language name categories using raw markup: 19 19 19 19 6 17 Disambiguation of English entries with topic categories using raw markup: 19 19 19 19 5 19 Topics: algebra, mathematics, sciences
  5. (mathematics, of a binary relation on a set) Such that the converse relation is well-founded (on that set). Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-noetherian-en-adj-eHjZcbdC Topics: mathematics, sciences
  6. (algebraic geometry, of a scheme) admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring; Tags: not-comparable Categories (topical): Algebraic geometry, Mathematics
    Sense id: en-noetherian-en-adj-1-1QGC84 Disambiguation of Mathematics: 18 18 18 18 9 18 Categories (other): English entries with incorrect language header, English entries with language name categories using raw markup, English entries with topic categories using raw markup Disambiguation of English entries with incorrect language header: 19 19 19 19 8 15 Disambiguation of English entries with language name categories using raw markup: 19 19 19 19 6 17 Disambiguation of English entries with topic categories using raw markup: 19 19 19 19 5 19 Topics: algebraic-geometry, geometry, mathematics, sciences
The following are not (yet) sense-disambiguated
Synonyms: Noetherian Derived forms: noetherian module Related terms: Artinian, ascending chain condition Translations (math): noetherdar (Basque), 诺特的 (Chinese Mandarin), noethérien (French), noetheriano (Italian)
Disambiguation of 'math': 18 18 18 17 11 18

Alternative forms

Download JSON data for noetherian meaning in All languages combined (9.9kB)

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      "code": "eu",
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      "word": "noethérien"
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      ],
      "glosses": [
        "admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;"
      ],
      "links": [
        [
          "algebraic geometry",
          "algebraic geometry"
        ],
        [
          "scheme",
          "scheme"
        ],
        [
          "admitting",
          "admit"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "affine",
          "affine"
        ],
        [
          "noetherian ring",
          "noetherian#English:_ring"
        ]
      ],
      "raw_glosses": [
        "(algebraic geometry, of a scheme) admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;"
      ],
      "raw_tags": [
        "of a scheme"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebraic-geometry",
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "other": "/noʊˈθɪəriən/"
    }
  ],
  "synonyms": [
    {
      "word": "Noetherian"
    }
  ],
  "translations": [
    {
      "code": "eu",
      "lang": "Basque",
      "sense": "math",
      "word": "noetherdar"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "math",
      "word": "诺特的"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "math",
      "word": "noethérien"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "math",
      "word": "noetheriano"
    }
  ],
  "word": "noetherian"
}

This page is a part of the kaikki.org machine-readable All languages combined 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.