Noetherian ring



Noetherian ring: A Noetherian ring is a (unital) ring in which every ideal is finitely generated. In commutative algebra, Noetherian ring stands for a commutative unital ring in which every ideal is finitely generated, while in noncommutative algebra, it stands for a possibly noncommutative unital ring in which every ideal is finitely generated.

Primary subject wiki entry: Commalg:Noetherian ring

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