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arxiv: math/0408258 · v1 · submitted 2004-08-19 · 🧮 math.QA · math.CO

Coalgebras of words and phrases

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keywords comultiplicationconstructionsphraseswordsalgebraalphabetcoalgebrascoassociative
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We introduce two constructions of a coassociative comultiplication in the algebra of phrases in a given alphabet. As a preliminary step we give two constructions of a pre-Lie comultiplication in the module generated by words.

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