Word.ws English Dictionary

Noetherian rings

Noetherian rings is the plural of Noetherian ring.

Meaning of Noetherian ring

Noun

Noetherian ring (plural Noetherian rings)

  1. (ring theory) A ring which is either: (a) a commutative ring in which every ideal is finitely generated, or (b) a noncommutative ring that is both left-Noetherian (every left ideal is finitely generated) and right-Noetherian (every right ideal is finitely generated).
    • The central position occupied by Noetherian rings in commutative ring theory became evident from her^([Noether's]) work.1986, Hideyuki Matsumura, translated by M. Reid, Commutative Ring Theory, Paperback edition, Cambridge University Press, published 1989, page ix

Questions about Noetherian rings

What is Noetherian rings the plural of?
Noetherian rings is the plural of Noetherian ring.

Words near Noetherian rings in the dictionary

  1. Noetherian domain
  2. Noetherian domains
  3. noetherian module
  4. noetherian modules
  5. Noetherian ring
  6. Noetherian rings
  7. noetherianity
  8. Noetian
  9. Noetians
  10. noetic
  11. noetical

Source and license

Adapted from Wiktionary: Noetherian rings (page history and authors); Noetherian ring (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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