About: Principal ideal domain

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rdfs:label	Anell principal (ca) Anneau principal (fr) Dominio ad ideali principali (it) Dominio de ideales principales (es) Dziedzina ideałów głównych (pl) Principal ideal domain (en) Область главных идеалов (ru)
rdfs:comment	Les anneaux principaux forment un type d'anneaux commutatifs important dans la théorie mathématique de la divisibilité (voir aussi l'article anneau principal non commutatif). Ce sont des anneaux intègres auxquels on peut étendre deux théorèmes qui, au sens strict, concernent l'anneau des entiers relatifs : le théorème de Bachet-Bézout et le théorème fondamental de l'arithmétique. (fr)
rdfs:seeAlso	http://mathworld.wolfram.com/PrincipalIdealDomain.html https://ncatlab.org/nlab/show/principal_ideal_domain
sameAs	Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain Principal ideal domain
Wikipage page ID	40272 (xsd:integer)
Wikipage revision ID	190001997 (xsd:integer)
dbo:wikiPageWikiLink	Commutative algebra Complex analysis Commutative ring Bézout domain Dedekind domain Discrete valuation ring dbpedia-fr:Anneau_des_entiers_de_Q(√5) Euclidean domain Unique factorization domain Integral domain Local ring Noetherian ring dbpedia-fr:Anneau_principal_non_commutatif Quotient ring GCD domain Ring of integers modulo n dbpedia-fr:Arithmétique dbpedia-fr:Arithmétique_élémentaire Axiom of choice Basis (linear algebra) category-fr:Anneau Linear combination Compact space dbpedia-fr:Corps_commutatif dbpedia-fr:Corps_de_nombres dbpedia-fr:Corps_des_fractions dbpedia-fr:Corps_totalement_réel Zero divisor Divisibility (ring theory) Euclidean division dbpedia-fr:Ensemble_inductif Algebraic integer Eisenstein integer Gaussian integer Quadratic integer Integer Square-free integer Vector space Essentially unique dbpedia-fr:Exposant_d'un_groupe Field extension Quadratic extension dbpedia-fr:Famille_génératrice Holomorphic function Abelian group Free abelian group Group of units dbpedia-fr:Groupe_des_unités_d'un_anneau_d'entiers_quadratiques Trivial group Ideal (ring theory) dbpedia-fr:Idéal_de_l'anneau_des_entiers_d'un_corps_quadratique Maximal ideal Prime ideal Principal ideal dbpedia-fr:Inverse dbpedia-fr:Lemme_d'Euclide Localization (commutative algebra) dbpedia-fr:Loi_commutative dbpedia-fr:Nombre_complexe dbpedia-fr:Nombre_rationnel dbpedia-fr:Nombre_réel dbpedia-fr:Nombres_premiers_entre_eux dbpedia-fr:Norme_(théorie_des_corps) Order (group theory)

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