# Noetherian ring

From Ref

**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

Also located at: Wikipedia:Noetherian ring