Definition:Noetherian Ring/Definition 2

Definition

A commutative ring with unity $A$ is Noetherian if and only if it satisfies the ascending chain condition on ideals.

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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