Last Updated：2025/11/19

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(mathematics) A set which is closed under an associative binary operation, and which contains an element which is an identity for the operation.

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monoid

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Source Word

monoid

Noun

Japanese Meaning

結合法則が成立する二項演算により閉じ、単位元を有する集合（数学における概念）

What is this buttons?

During the seminar, she showed that a monoid can be formed by taking all finite strings over an alphabet with concatenation and the empty string as the identity.

Google Translation / DeepL Translation

セミナーで彼女は、結合的な二項演算で閉じかつ単位元を持つ集合が、アルファベット上の有限な文字列全体と連結演算、そして単位元としての空文字を考えることで構成できることを示した。

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Sense（1）

monoids

（ plural ）

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monoid

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monoid

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