Last Updated :2025/12/04

free monoid

Noun
Japanese Meaning
自由モノイド:ある生成元の集合のケレネ閉包(すなわち全ての有限長の列)を基底集合とし、その演算が文字列の連結である単位元を含む代数的構造。
What is this buttons?

講義で彼女は、生成元集合の Kleene 閉包(すなわち生成元の有限連接から成る集合)を基礎とし演算が連接であるモノイド、つまり自由モノイドの各元がそれらの生成元の有限回の連接として一意に表されることを説明した。

plural

Quizzes for review

(algebra) A monoid whose underlying set is the Kleene closure of some set of generators, and whose operator is concatenation.

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free monoid

In the lecture, she explained how each element of the free monoid over a set of generators can be represented uniquely as a finite concatenation of those generators.

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In the lecture, she explained how each element of the free monoid over a set of generators can be represented uniquely as a finite concatenation of those generators.

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