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Abstract: We introduce the operad Moor, dual of the operad NAP and the notion ofMoor-bialgebras. We warn the reader that the compatibility relation linking theMoor-operation with the Moor-cooperation is not distributive in the sense ofLoday. Nevertheless, a rigidity theorem \`a la Hopf-Borel for the category ofconnected Moor-bialgebras is given. We show also that free permutative algebrascan be equipped with a Moor-cooperation whose compatibility with thepermutative product looks like the infinitesimal relation.



Autor: Leroux Philippe

Fuente: https://arxiv.org/



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