@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr: a skos:ConceptScheme .
psr:-C27JC6N0-1
  skos:prefLabel "division euclidienne"@fr, "Euclidean division"@en ;
  a skos:Concept ;
  skos:related psr:-N6H408KW-V .

psr:-N6H408KW-V
  skos:prefLabel "Euclidean ring"@en, "anneau euclidien"@fr ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Euclidean_domain>, <https://fr.wikipedia.org/wiki/Anneau_euclidien> ;
  dc:created "2023-07-18"^^xsd:date ;
  skos:inScheme psr: ;
  dc:modified "2023-07-18"^^xsd:date ;
  skos:related psr:-C27JC6N0-1 ;
  skos:definition """En mathématiques et plus précisément en algèbre, dans le cadre de la théorie des anneaux, un anneau euclidien est un type particulier d'anneau commutatif intègre. Un anneau est dit euclidien s'il est possible d'y définir une division euclidienne. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Anneau_euclidien">https://fr.wikipedia.org/wiki/Anneau_euclidien</a>)"""@fr, """In mathematics, more specifically in ring theory, a Euclidean domain (also called a Euclidean ring) is an integral domain that can be endowed with a Euclidean function which allows a suitable generalization of the Euclidean division of integers. This generalized Euclidean algorithm can be put to many of the same uses as Euclid's original algorithm in the ring of integers: in any Euclidean domain, one can apply the Euclidean algorithm to compute the greatest common divisor of any two elements. In particular, the greatest common divisor of any two elements exists and can be written as a linear combination of them (Bézout's identity). Also every ideal in a Euclidean domain is principal, which implies a suitable generalization of the fundamental theorem of arithmetic: every Euclidean domain is a unique factorization domain. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Euclidean_domain">https://en.wikipedia.org/wiki/Euclidean_domain</a>)"""@en ;
  a skos:Concept ;
  skos:altLabel "Euclidean domain"@en ;
  skos:broader psr:-D681HJ5Q-G .

psr:-D681HJ5Q-G
  skos:prefLabel "anneau commutatif"@fr, "commutative ring"@en ;
  a skos:Concept ;
  skos:narrower psr:-N6H408KW-V .