Word.ws English Dictionary

noetherian

/noʊˈθɪəriən/

noetherian adjective: in which any ascending chain of ideals eventually becomes constant.

Adjective (1)

noetherian (not comparable)

  1. In which any ascending chain of ideals eventually becomes constant.
  2. In which any ascending chain of submodules eventually becomes constant.
  3. In which any ascending chain of subgroups eventually becomes constant.
  4. In which any ascending chain of open subsets eventually becomes constant.
  5. Such that the converse relation is well-founded (on that set).
  6. admitting a finite covering by open affine subsets operatorname SpecA_i, where each A_i is a noetherian ring;

Adjective (2) capitalized: Noetherian

Noetherian (not comparable)

  1. Alternative letter-case form of noetherian.

Forms of noetherian

alternative formNoetherian

Origin of noetherian

From Emmy Noether.

Words formed from noetherian

Phrases with noetherian

Questions about noetherian

What does noetherian mean?
Noetherian means in which any ascending chain of ideals eventually becomes constant.
What part of speech is noetherian?
Noetherian is an adjective.
How do you pronounce noetherian?
Noetherian is pronounced /noʊˈθɪəriən/.

Words near noetherian in the dictionary

  1. noers
  2. noes
  3. noeses
  4. noesis
  5. Noether's theorem
  6. noetherian
  7. Noetherian domain
  8. Noetherian domains
  9. noetherian module
  10. noetherian modules
  11. Noetherian ring

Source and license

Adapted from Wiktionary: noetherian (page history and authors); Noetherian (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Pronunciation audio from Wikimedia Commons, each file under its own free license: LL-Q1860 (eng)-Flame, not lame-noetherian.wav.

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