abelian group
abelian group · abelian groups
абелева группа
abelsche Gruppe, kommutative Gruppe
A group in which the group operation is commutativeA group in which the group operation is commutative.
US/əˈbi.li.ən ɡɹup/
» Every subgroup of an abelian group is abelian.
Jede Untergruppe einer abelschen Gruppe ist wieder abelsch.
Meaning
1 sensesA group in which the group operation is commutative.
abelsche Gruppe, kommutative Gruppe
а́белева гру́ппаábeleva grúppa
a group that satisfies the commutative law
Examples
1 sentencesEvery subgroup of an abelian group is abelian.
deJede Untergruppe einer abelschen Gruppe ist wieder abelsch. — Pfirsichbaeumchen
Translations
7 languagesРусский
By meaning 1
group in which the group operation is commutative:
Deutsch
By meaning 1
group in which the group operation is commutative:
Origin
Named in honour of Niels Henrik Abel (1802–1829), a Norwegian mathematician.Named in honour of Niels Henrik Abel (1802–1829), a Norwegian mathematician.
Wiktionary, CC BY-SA 4.0 · source
Forms
plural: abelian groupsSynonyms
1 synonymsClose in meaning
- a group that satisfies the commutative law:commutative group