Coalgebras of words and phrases

2004/08/19 by Vladimir Turaev, Turaev, Vladimir · 1 citation
Mathematics · Social Sciences · #Gender Studies in Language #math.CO #math.QA #msc:16W30

paper · pdf · doi:10.48550/arxiv.math/0408258

arxiv created 2004/08/19 · arxiv updated 2009/12/01

Abstract

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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