Linked from

The 25 pages that link to Algebraic number field, each with the reason it gives.

• Algebraic closureRelated: Its algebraic closure contains every algebraic number and supplies a common setting for number-field extensions.

• Dedekind domainRelated: Its ring of integers is a central source of Dedekind domains.

• Helmut HasseRelated: Hasse studied number fields by examining their completions at different primes.

• Arithmetic geometryRelated: Number fields provide central domains over which arithmetic varieties are studied.

• Kronecker–Weber theoremRelated: Every finite extension considered by the theorem is an algebraic number field.

• Hasse–Minkowski theoremRelated: It supplies the global field whose completions are tested.

• Manin conjectureRelated: It supplies the field over which rational points and heights are defined.