2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74211We present coalgebras of some 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 well-known Vinberg algebras, the Pre-Lie algebras, the Lie-admissible algebras and the 3-power associative algebras. We study properties between these coalgebras and algebras which generalize the associative case.6 pagesRings and Algebras17Axx 17Bxxtext