A class of nonassociative algebras and cogebras

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We present classes of nonassociative algebras whose associator satisfies invariance conditions given by the action of the 3 order symmetric group. Amongst these algebras we find the wellknown Pre Lie or Vinberg algebras and the Lie admissible algebras. We study the corresponding noncoassociative cogebras.
10 pages

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Rings and Algebras, 16Axx

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http://salesiana.dossiersoluciones.com/handle/123456789/73788

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501097
 http://arxiv.org/abs/math/0501097

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arXiv