Definition:Noetherian Ring/Definition 1

Definition

A commutative ring with unity $A$ is Noetherian if and only if every ideal of $A$ is finitely generated.

Also known as

Some sources render the term Noetherian ring as noetherian, dropping the capital N.

Also see

• Equivalence of Definitions of Noetherian Ring

• Results about Noetherian rings can be found here.

Sources

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