English Dictionary

abelian group

IPA（発音記号）

/əˈbi.li.ən ɡɹup/

名詞

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

日本語の意味

群の演算、すなわち群の二項演算が可換である群（可換群）

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

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。

意味（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⁺.

abelian groups （ plural ）