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...

group defined by an algebraic group G over a number field K, and the adele ring A = A(K) of K. It consists of the points of G having values in A; the...

Adele Laurie Blue Adkins MBE (/əˈdɛl/; born 5 May 1988), known mononymously as Adele, is an English singer-songwriter. She is known for her mezzo-soprano...

respect to the subspace topology. An example of this situation is the adele ring of a global field; its unit group, called the idele group, is not a topological...

of a projective limit of rings (see below). Another application is a restricted product of a family of rings (cf. adele ring). Given a symbol t (called...

Look up Adele or adele in Wiktionary, the free dictionary. Adele (born 1988) is an English singer-songwriter. Adele may also refer to: Adele (given name)...

Considering all the places of the field together produces the adele ring of the number field. The adele ring allows one to simultaneously track all the data available...

{\displaystyle G(\mathbb {A} )/G(k)} , where A {\displaystyle \mathbb {A} } is the adele ring of k. Tamagawa numbers were introduced by Tamagawa (1966), and named after...

general linear group GL(n) over the adele ring of Q {\displaystyle \mathbb {Q} } (the rational numbers). (This ring simultaneously keeps track of all the...

Adele in Munich was the second concert residency by English singer Adele held in a purpose-built outdoor arena at Munich Messe in Munich, Germany. The...