Definition from Wiktionary, the free dictionary
Named after Emmy Noether (1882–1935), German mathematician.
Noetherian ring (plural Noetherian rings)
- (mathematics, abstract algebra) A commutative ring in which every ideal is finitely generated.
- (mathematics, abstract algebra) A noncommutative ring which is both left-Noetherian and right-Noetherian, i.e., in which every left ideal is finitely generated and in which every right ideal is finitely generated, respectively.