About: Ideal (ring theory)

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rdfs:label	Idéal (fr) Ideaal (ringtheorie) (nl) Ideal (matemàtiques) (ca) Ideal (ring theory) (en) Ideal (teoria dos anéis) (pt) Ideal (teoría de anillos) (es) Ідеал (алгебра) (uk) 理想 (环论) (zh)
rdfs:comment	En mathématiques, et plus particulièrement en algèbre, un idéal est un sous-ensemble remarquable d'un anneau : c'est un sous-groupe du groupe additif de l'anneau qui est, de plus, stable par multiplication par les éléments de l'anneau. À certains égards, les idéaux s'apparentent donc aux sous-espaces vectoriels — qui sont des sous-groupes additifs stables par une multiplication externe ; à d'autres égards, ils se comportent comme les sous-groupes distingués — ce sont des sous-groupes additifs à partir desquels on peut construire une structure d'anneau quotient. (fr)
rdfs:seeAlso	https://www.britannica.com/topic/ideal-mathematics http://mathworld.wolfram.com/Ideal.html http://www.enciclopedia.cat/EC-GEC-0187897.xml
sameAs	Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory) Ideal (ring theory)
Wikipage page ID	11001 (xsd:integer)
Wikipage revision ID	191492096 (xsd:integer)
dbo:wikiPageWikiLink	Algebra Commutative algebra Banach algebra Lie algebra Abstract algebra Algebra (ring theory) Functional analysis Harmonic analysis Artinian ring Commutative ring Dedekind domain Unique factorization domain Integral domain Integrally closed domain Noetherian ring Quotient ring Simple ring Unital ring Linear map dbpedia-fr:Bijection_réciproque dbpedia-fr:Bimodule category-fr:Anneau category-fr:Idéal Ascending chain condition Congruence (integers) dbpedia-fr:Corps_(mathématiques) dbpedia-fr:Corps_commutatif dbpedia-fr:Corps_de_rupture dbpedia-fr:Corps_gauche Krull dimension Zero divisor dbpedia-fr:Décomposition_en_produit_de_facteurs_premiers dbpedia-fr:Décomposition_primaire dbpedia-fr:Emil_Artin Emmy Noether dbpedia-fr:Endomorphisme_linéaire Algebraic variety Algebraic integer Integer dbpedia-fr:Ernst_Kummer Hausdorff space

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