Last Updated：2025/11/24

(group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition.

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additive group

Source Word

additive group

(group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition.

Japanese Meaning

加法群：群論において、二項演算が「加法」として定義された群。しばしば可換（アーベル群）であるが、必ずしも可換であるとは限らない。

To illustrate the concept, the professor described the additive group of integers as a basic example.

概念を説明するために、教授は整数の加法群を基本的な例として説明した。

Sense（1）

(group theory) Any (often, but not necessarily, abelian) group whose binary operation is called addition.

Sense（2）

Sense（3）

(category theory) Any group object (such as a group functor, group scheme, etc.), whose binary operation is called addition.

additive groups

（ plural ）