English Dictionary

semigroup

名詞

(mathematics) Any set for which there is a binary operation that is closed and associative.

日本語の意味

数学において、二項演算が閉じかつ結合的であるような集合（半群）を指す。

In abstract algebra, we often study the structure of a semigroup to understand how its associative operation shapes the system.

抽象代数学では、その結合的な二項演算を備えた集合（半群）の構造が系にどのように影響するかを理解するために、しばしば研究を行います。

意味（1）

(mathematics) Any set for which there is a binary operation that is closed and associative.

If a semigroup S contains a zeroid, then every left zeroid is also a right zeroid, and vice versa, and the set K of all the zeroids of S is the kernel of S.

semigroups （ plural ）