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Algebraic number field : ウィキペディア英語版
Algebraic number field

In mathematics, an algebraic number field (or simply number field) ''F'' is a finite degree (and hence algebraic) field extension of the field of rational numbers Q. Thus ''F'' is a field that contains Q and has finite dimension when considered as a vector space over Q.
The study of algebraic number fields, and, more generally, of algebraic extensions of the field of rational numbers, is the central topic of algebraic number theory.
==Definition==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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