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An equivalence class of absolute values on a number field, including Archimedean places and non-Archimedean places associated with prime ideals.
wp-place-of-number-fieldmilne-algebraic-number-theoryEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
A number field has Archimedean places from embeddings and non-Archimedean places associated with prime ideals, understood as equivalence classes of absolute values.
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.
milne-algebraic-number-theoryEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Each place determines a completion of the number field.
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.
milne-algebraic-number-theory