@prefix psr: . @prefix skos: . psr: a skos:ConceptScheme . psr:-D681HJ5Q-G skos:prefLabel "anneau commutatif"@fr, "commutative ring"@en ; a skos:Concept ; skos:narrower psr:-HMT8WTM7-4 . psr:-HMT8WTM7-4 skos:definition """En algèbre commutative, l'anneau des entiers est une construction que l'on peut obtenir à partir de tout corps de nombres en considérant ses éléments entiers. Par exemple, l'anneau des entiers de

{\\\\displaystyle \\\\mathbb {Q} }

est

{\\\\displaystyle {\\\\mathcal {O}}_{\\\\mathbb {Q} }=\\\\mathbb {Z} }

. Il existe des algorithmes efficaces pour calculer cet anneau pour tout corps de nombres
(Wikipedia, L'Encylopédie Libre, https://fr.wikipedia.org/wiki/Anneau_des_entiers)"""@fr, """In mathematics, the ring of integers of an algebraic number field

{\\\\displaystyle K}

is the ring of all algebraic integers contained in

{\\\\displaystyle K}

. An algebraic integer is a root of a monic polynomial with integer coefficients:

{\\\\displaystyle x^{n}+c_{n-1}x^{n-1}+\\\\cdots +c_{0}}

. This ring is often denoted by

{\\\\displaystyle O_{K}}

{\\\\displaystyle {\\\\mathcal {O}}_{K}}

. Since any integer belongs to

{\\\\displaystyle K}

and is an integral element of

{\\\\displaystyle K}

, the ring

{\\\\displaystyle \\\\mathbb {Z} }

is always a subring of

{\\\\displaystyle O_{K}}

.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Ring_of_integers)"""@en ; a skos:Concept ; skos:inScheme psr: ; skos:broader psr:-D681HJ5Q-G ; skos:prefLabel "anneau des entiers"@fr, "ring of integers"@en ; skos:exactMatch , .