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bn:02235425n

Noun Concept

Categories: Field theory, Algebraic number theory, Articles with short description

algebraic number field algebraic number fields Dedekind discriminant theorem Degree of a number field Degree of an algebraic number field

In mathematics, an algebraic number field is an extension field K {\displaystyle K} of the field of rational numbers Q {\displaystyle \mathbb {Q} } such that the field extension K / Q {\displaystyle K/\mathbb {Q} } has finite degree. Wikipedia

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A finite degree field extension of the field of rational numbers Wikidata

A field which includes the rational numbers and has finite dimension as a vector space over the rational numbers. Wiktionary

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. Wiktionary

IS A

field

HAS KIND

cyclotomic field

totally real number field

totally imaginary number field

quadratic field

class number formula

HAS PARTS OF THE CLASS

algebraic number

Wikipedia

algebraic number field