Adele ring
In mathematics the adele ring is defined in class field theory, a branch of (algebraic) number theory. It allows one to elegantly describe the Artin reciprocity law. The adele ring is a self-dual topological ring, which is built on a global field. It is the restricted product of all the completions of the global field and therefore contains all the completions of the global field. The , which is the quotient group of the group of units of the adele ring by the group of units of the global field, is a central object in class field theory. Notation: During the whole article, for a place of or and
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Adele ring
In mathematics the adele ring is defined in class field theory, a branch of (algebraic) number theory. It allows one to elegantly describe the Artin reciprocity law. The adele ring is a self-dual topological ring, which is built on a global field. It is the restricted product of all the completions of the global field and therefore contains all the completions of the global field. The , which is the quotient group of the group of units of the adele ring by the group of units of the global field, is a central object in class field theory. Notation: During the whole article, for a place of or and
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Der Adelering wird in der Zahl ...... im Artikel laufend verwendet.
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Em Matemática e em teoria dos ...... u distribuições antes de 1950.
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En mathématiques et dans la th ...... on ou répartitions avant 1950.
@fr
In de algebraïsche getaltheori ...... ctoren of repartities genoemd.
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In mathematics the adele ring ...... e used throughout the article.
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アデール環(adele ring) （単にアデールと呼ぶ事も ...... こともある）がはじめに考えられ、その後アデールが定義された。
@ja
在數論中，賦值向量環或阿代爾環（法文：adèle，英譯多用原 ...... ent idéal）。adèle 也是法文中常見的女性名字。
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744,528,169
hypernym
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Der Adelering wird in der Zahl ...... Das bedeutet, dass oder welche
@de
Em Matemática e em teoria dos ...... u distribuições antes de 1950.
@pt
En mathématiques et dans la th ...... on ou répartitions avant 1950.
@fr
In de algebraïsche getaltheori ...... ctoren of repartities genoemd.
@nl
In mathematics the adele ring ...... article, for a place of or and
@en
アデール環(adele ring) （単にアデールと呼ぶ事も ...... 数体における解となるかを決定するという手法をとることもある。
@ja
在數論中，賦值向量環或阿代爾環（法文：adèle，英譯多用原 ...... ent idéal）。adèle 也是法文中常見的女性名字。
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label
Adele ring
@en
Adele-ring
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Adelring
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Anel adélico
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Anneau adélique
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アデール環
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賦值向量環
@zh