2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/141127The aim of this paper is to generalize the concept of Lie-admissible coalgebra introduced by Goze and Remm to Hom-coalgebras and to introduce Hom-Hopf algebras with some properties. These structures are based on the Hom-algebra structures introduced by the authors.13 pagesRings and AlgebrasQuantum Algebra17A30, 16W30, 17D25text