Algebraic number field
In mathematics, an algebraic number field (or simply number field) is an extension field of the field of rational numbers such that the field extension has finite degree (and hence is an algebraic field extension).Thus is a field that contains and has finite dimension when considered as a vector space over . 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.
Wikipage disambiguates
Abelian extensionAbelian varietyAbraham Adrian AlbertAbstract analytic number theoryAdele ringAdelic algebraic groupAlbert–Brauer–Hasse–Noether theoremAlgebraic K-theoryAlgebraic extensionAlgebraic function fieldAlgebraic geometryAlgebraic integerAlgebraic numberAlgebraic number fieldAlgebraic number fieldsAlgebraic number theoryAnalytic subgroup theoremAndrew Sutherland (mathematician)Angus MacintyreApproximation in algebraic groupsAreas of mathematicsArithmetic geometryArithmetic groupArithmetic hyperbolic 3-manifoldArithmetic of abelian varietiesArithmetic topologyArtin L-functionArtin reciprocity lawArtin transfer (group theory)Artin–Verdier dualityAuxiliary functionBaker's theoremBasic Number TheoryBass conjectureBauerian extensionBeilinson regulatorBinary quadratic formBiquadratic fieldBirch's theoremBirch and Swinnerton-Dyer conjecture
Link from a Wikipage to another Wikipage
primaryTopic
Algebraic number field
In mathematics, an algebraic number field (or simply number field) is an extension field of the field of rational numbers such that the field extension has finite degree (and hence is an algebraic field extension).Thus is a field that contains and has finite dimension when considered as a vector space over . 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.
has abstract
Ciało liczbowe – każde ciało b ...... em algebraicznej teorii liczb.
@pl
Dalam matematika, medan bilang ...... utama teori bilangan aljabar.
@in
Ein algebraischer Zahlkörper o ...... n Zahlen im Körper darstellen.
@de
Em matemática, um corpo de num ...... teoria algébrica dos números.
@pt
En algebraisk talkropp är en k ...... bjektet i algebraisk talteori.
@sv
En matemática, un cuerpo de nú ...... teoría de números algebraicos.
@es
En mathématiques, un corps de ...... orps ℚ des nombres rationnels.
@fr
In de galoistheorie, een deelg ...... g van de complexe getallen is.
@nl
In matematica un campo di nume ...... a teoria algebrica dei numeri.
@it
In mathematics, an algebraic n ...... ic of algebraic number theory.
@en
Link from a Wikipage to an external page
Wikipage page ID
28,730,822
page length (characters) of wiki page
Wikipage revision ID
1,026,275,190
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
hypernym
type
comment
Ciało liczbowe – każde ciało b ...... em algebraicznej teorii liczb.
@pl
Dalam matematika, medan bilang ...... utama teori bilangan aljabar.
@in
Ein algebraischer Zahlkörper o ...... n Zahlen im Körper darstellen.
@de
Em matemática, um corpo de num ...... teoria algébrica dos números.
@pt
En algebraisk talkropp är en k ...... bjektet i algebraisk talteori.
@sv
En matemática, un cuerpo de nú ...... teoría de números algebraicos.
@es
En mathématiques, un corps de ...... orps ℚ des nombres rationnels.
@fr
In de galoistheorie, een deelg ...... g van de complexe getallen is.
@nl
In matematica un campo di nume ...... a teoria algebrica dei numeri.
@it
In mathematics, an algebraic n ...... ic of algebraic number theory.
@en
label
Algebraic number field
@en
Algebraischer Zahlkörper
@de
Algebraisk talkropp
@sv
Algebraïsch getallenlichaam
@nl
Campo di numeri
@it
Ciało liczbowe
@pl
Corpo de números algébricos
@pt
Corps de nombres
@fr
Cuerpo de números algebraicos
@es
Medan bilangan aljabar
@in