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Concept information

number > number theory > algebraic number theory > class field theory > adele ring
... > algebra > abstract algebra > algebraic structure > ring theory > ring > topological ring > adele ring
geometry > topological space > topological algebra > adele ring
algebra > topological algebra > adele ring

Preferred term

adele ring  

Definition(s)

  • In mathematics, the adele ring of a global field (also adelic ring, ring of adeles or ring of adèles) is a central object of class field theory, a branch of algebraic number theory. It is the restricted product of all the completions of the global field and is an example of a self-dual topological ring.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Adele_ring)

Broader concept(s)

Synonym(s)

  • adelic ring
  • ring of adeles
  • ring of adèles

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URI

http://data.loterre.fr/ark:/67375/PSR-KBM0D7VN-X

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