Normal domain: Difference between revisions
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* [[Unique factorization domain]] | * [[Unique factorization domain]] | ||
* [[Principal ideal domain]] | * [[Principal ideal domain]] | ||
* [Euclidean domain]] | * [[Euclidean domain]] | ||
* [[Dedekind domain]] | * [[Dedekind domain]] | ||
===Weaker properties=== | ===Weaker properties=== | ||
Revision as of 00:28, 17 April 2007
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 said to be normal if it is integrally closed in its field of fractions.