Local 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
This article defines a property that can be evaluated for a local ring
View other properties of local rings
Definition
A local domain is a local ring which is also an integral domain.
Relation with other properties
Stronger properties
- Regular local ring: For full proof, refer: Regular local ring implies integral domain
- Local Noetherian domain
- Field