Last Updated：2025/11/22

Dictionary quizzes to help you remember vocabulary

Dictionary quizzes to help you remember vocabulary

(algebra) A group in which the group operation is commutative.

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abelian group

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Source Word

abelian group

IPA(Pronunciation)

/əˈbi.li.ən ɡɹup/

(algebra) A group in which the group operation is commutative.

Japanese Meaning

群の演算、すなわち群の二項演算が可換である群（可換群）

What is this buttons?

An abelian group, where the group operation is commutative, often allows simpler arguments in algebra.

Google Translation / DeepL Translation

可換群は群の演算が可換であるため、代数学においてしばしばより単純な議論を可能にします。

Sense（1）

(algebra) A group in which the group operation is commutative.

Let G and H be partially ordered abelian groups. A positive homomorphism from G to H is any abelian group homomorphism f:G→H that maps positive elements to positive elements, that is, f(G⁺)⊆H⁺.

Google Translation / DeepL Translation

abelian groups

（ plural ）

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