A rigidity theorem for Moor-bialgebras

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We introduce the operad Moor, dual of the operad NAP and the notion of Moor-bialgebras. We warn the reader that the compatibility relation linking the Moor-operation with the Moor-cooperation is not distributive in the sense of Loday. Nevertheless, a rigidity theorem (à la Hopf-Borel) for the category of connected Moor-bialgebras is given. We show also that free permutative algebras can be equipped with a Moor-cooperation whose compatibility with the permutative product looks like the infinitesimal relation.
V2. Radical change of the paper

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Quantum Algebra, Rings and Algebras, 16D99, 16W30, 17A30

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http://salesiana.dossiersoluciones.com/handle/123456789/163486

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.0677
 http://arxiv.org/abs/0804.0677

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arXiv