Noetherian ring

English dictionary entry

Meanings

noun

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).

/nəˈtɛ.ɹi.ən ˈɹɪŋɡ/

Noetherian ring Noetherian rings

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

left-Noetherian Noetherian right-Noetherian

left Noetherian ring right Noetherian ring

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