- adele ring
- мат.кольцо аделей
English-Russian scientific dictionary. 2008.
adele ring
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Adele ring — In number theory, the adele ring is a topological ring which is built on the field of rational numbers (or, more generally, any algebraic number field). It involves all the completions of the field.The word adele is short for additive idele .… … Wikipedia
Adele — may refer to: *Adele (singer) * Adele (musical) is a musical that played on Broadway in 1913. *A given name, Adèle, from the Germanic word, adal , meaning noble . *Adele, Ethiopia. *Adele language, a language spoken in eastern Ghana and Togo. *In … Wikipedia
Adele Gerhard — (* als Adele de Jonge am 8. Juni 1868 in Köln; † 10. Mai 1956 in Köln) war eine deutsche Schriftstellerin. Inhaltsverzeichnis 1 Leben 2 Werke 3 Literatur … Deutsch Wikipedia
Topological ring — In mathematics, a topological ring is a ring R which is also a topological space such that both the addition and the multiplication are continuous as maps : R times; R → R ,where R times; R carries the product topology. General comments The group … Wikipedia
Adelic algebraic group — In mathematics, an adelic algebraic group is a topological 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 definition of the appropriate… … Wikipedia
Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… … Wikipedia
P-adic number — In mathematics, the p adic number systems were first described by Kurt Hensel in 1897 [cite journal | last = Hensel | first = Kurt | title = Über eine neue Begründung der Theorie der algebraischen Zahlen | journal =… … Wikipedia
Anneau adélique — En mathématiques et dans la théorie des nombres, l anneau adélique (ou anneau des adèles) est un anneau topologique contenant le corps des nombres rationnels (ou, plus généralement, un corps de nombres algébriques), construit à l aide de toutes… … Wikipédia en Français
List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A … Wikipedia
P-adic quantum mechanics — One may compute the energy levels for a potential well like this one.[note 1] P adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics. It is the application of p adic analysis to quantum… … Wikipedia
Algebraic number — In mathematics, an algebraic number is a complex number that is a root of a non zero polynomial in one variable with rational (or equivalently, integer) coefficients. Complex numbers such as pi that are not algebraic are said to be transcendental … Wikipedia
