# Noetherian ring

> English word · Noun · IPA /nəˈtɛ.ɹi.ən ˈɹɪŋɡ/

## Definitions
1. 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).

## Etymology
Named after German mathematician Emmy Noether (1882–1935).

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/noetherian-ring