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The integral closure of inside a number field.
For a number field , is the integral closure of in and is a Dedekind domain.
wp-ring-integersnlab-dedekind-domainmilne-algebraic-number-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Select the elements integral over ; they form the ring of integers.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
wp-ring-integersmilne-algebraic-number-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
The ring of integers of a number field is a Dedekind domain.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-ring-integersnlab-dedekind-domainstacks-dedekindmilne-algebraic-number-theory