e/Center (group)

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has glosseng: In abstract algebra, the center of a group G, denoted Z(G), is the set of elements that commute with every element of G. In set-builder notation,
lexicalizationeng: Center
instance ofc/Functional subgroups
Meaning
Czech
lexicalizationces: centrum grupy
French
has glossfra: En théorie des groupes, on appelle centre dun groupe G lensemble des éléments qui commutent avec tous les autres.
lexicalizationfra: centre d'un groupe
Hebrew
has glossheb: בתורת החבורות מרכז החבורה G היא קבוצת כל האיברים, שמתחלפים עם כל איברי G: \ Z(G)=\z\in G| gz=zg\ \forall g\in G\} . המרכז הוא תמיד תת חבורה נורמלית ואבלית של G.
lexicalizationheb: מרכז
Italian
has glossita: In matematica, dato un gruppo G, il centro di G è il sottoinsieme di G così definito: :C:= \ c | gc = cg \mbox per ogni elemento }g \in G\} Si tratta perciò degli elementi di G che commutano con tutti gli elementi di G (compresi quelli non appartenenti a C).
lexicalizationita: Centro di un gruppo
Japanese
has glossjpn: 代数学における群 G の核心または中心(ちゅうしん、) Z(G) は G の全ての元と可換となるような元全体の成す集合
lexicalizationjpn: 群の中心
Dutch
has glossnld: In de abstracte algebra is het centrum van een groep G de verzameling Z(G) van alle elementen in G die commuteren met alle elementen van G. Dat is,
lexicalizationnld: centrum
Portuguese
has glosspor: Na teoria dos grupos, o centro de um grupo é o conjunto dos elementos que comutam com todos os outros elementos. O centro de um grupo G representa-se normalmente por Z(G) (Z vem do alemão Zentrum):
lexicalizationpor: centro de um grupo
Ukrainian
lexicalizationukr: центр групи
Chinese
has glosszho: 在抽象代数中,群G的中心Z(G)是所有在G中和G的所有元素可交换的元素的集合。精确的讲: :Z(G) = z ∈ G | gz = zg对于所有g ∈ G}
lexicalizationzho: 中心

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