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Free monoid
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==Factorization== {{main |Monoid factorisation}} A factorization of a free monoid is a sequence of subsets of words with the property that every word in the free monoid can be written as a concatenation of elements drawn from the subsets. The [[Chen–Fox–Lyndon theorem]] states that the [[Lyndon word]]s furnish a factorization. More generally, [[Hall word]]s provide a factorization; the Lyndon words are a special case of the Hall words.
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