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单词 abelian group
释义

abelian group


a·be·li·an group

A0012800 (ə-bē′lē-ən)n. See commutative group.
[After Niels Henrik Abel (1802-1829), Norwegian mathematician.]

Abelian group

(əˈbiːlɪən) n (Mathematics) a group the defined binary operation of which is commutative: if a and b are members of an Abelian group then ab = ba[C19: named after Niels Henrik Abel (1802–29), Norwegian mathematician]
Thesaurus
Noun1.Abelian group - a group that satisfies the commutative lawAbelian group - a group that satisfies the commutative lawcommutative groupmathematical group, group - a set that is closed, associative, has an identity element and every element has an inverse
Translations
абелева группакоммутативная группа

Abelian group


Abelian group

[ə′bēl·yən ′grüp] (mathematics) A group whose binary operation is commutative; that is, ab = ba for each a and b in the group. Also known as commutative group.

Abelian group


Related to Abelian group: group theory, vector space, Cyclic group
  • noun

Synonyms for Abelian group

noun a group that satisfies the commutative law

Synonyms

  • commutative group

Related Words

  • mathematical group
  • group
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更新时间:2024/12/23 4:17:36