Algebraic number theory
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits unique factorization, the behavior of ideals, and the Galois groups of fields, can resolve questions of primary importance in number theory, like the existence of solutions to Diophantine equations.
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Algebraic number theory
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits unique factorization, the behavior of ideals, and the Galois groups of fields, can resolve questions of primary importance in number theory, like the existence of solutions to Diophantine equations.
has abstract
Algebraic number theory is a b ...... ions to Diophantine equations.
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Algebraiczna teoria liczb - ga ...... aicznymi i ciałami liczbowymi.
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Algebraisk talteori är en gren ...... algebraisk talteori, kallas .
@sv
Die algebraische Zahlentheorie ...... llgemeiner zu lokalen Körpern.
@de
En mathématiques, la théorie a ...... 'est le principe local-global.
@fr
In de wiskunde is de algebraïs ...... de gedeeltelijk te herstellen.
@nl
La teoria algebrica dei numeri ...... oni delle equazioni diofantee.
@it
La teoria dels nombres algebra ...... omportament usual dels enters.
@ca
La teoría de números algebraic ...... rtan en su vecindad inmediata.
@es
Teori bilangan aljabar adalah ...... erti keberadaan solusi untuk .
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@en
title
Algebraic number theory
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wikiPageUsesTemplate
hypernym
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Algebraic number theory is a b ...... ions to Diophantine equations.
@en
Algebraiczna teoria liczb - ga ...... aicznymi i ciałami liczbowymi.
@pl
Algebraisk talteori är en gren ...... en partiell ordningsstruktur.
@sv
Die algebraische Zahlentheorie ...... ondern nur noch in Primideale.
@de
En mathématiques, la théorie a ...... tilisant les entiers de Gauss.
@fr
In de wiskunde is de algebraïs ...... jk maakt voor deze nieuwe klas
@nl
La teoria algebrica dei numeri ...... oni delle equazioni diofantee.
@it
La teoria dels nombres algebra ...... omportament usual dels enters.
@ca
La teoría de números algebraic ...... mios con coeficientes enteros.
@es
Teori bilangan aljabar adalah ...... erti keberadaan solusi untuk .
@in
label
Algebraic number theory
@en
Algebraiczna teoria liczb
@pl
Algebraische Zahlentheorie
@de
Algebraisk talteori
@sv
Algebraïsche getaltheorie
@nl
Teori bilangan aljabar
@in
Teoria algebrica dei numeri
@it
Teoria algébrica dos números
@pt
Teoria de nombres algebraics
@ca
Teoría de números algebraicos
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