Affine 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

An affine domain is an integral domain that is an affine ring over a field i.e. it is finitely generated as an algebra over a field.

Relation with other properties

Stronger properties

• Affine Cohen-Macaulay domain

Weaker properties

• Equidimensional catenary ring
• Equidimensional ring
• Universally catenary ring
• Catenary ring
• Noetherian ring