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Noetherian ring

Related Terms:

right ideal noetherian domain commutative ring ring ideal left ideal noetherian noncommutative left noetherian right noetherian

Noun

Definition: 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).

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