Noetherian domain

This article defines a property of integral domains, viz., a property that, given any integral domain, is either true or false for that.
View other properties of integral domains | View all properties of commutative unital rings
VIEW RELATED: Commutative unital ring property implications | Commutative unital ring property non-implications |Commutative unital ring metaproperty satisfactions | Commutative unital ring metaproperty dissatisfactions | Commutative unital ring property satisfactions | Commutative unital ring property dissatisfactions

Definition

Symbol-free definition

An integral domain is termed a Noetherian domain if every ideal in it is finitely generated. In other words, it is both an integral domain and a Noetherian ring.

Relation with other properties

Stronger properties

• Principal ideal domain
• Dedekind domain