2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58358We give a universal construction of families of Hopf $P$-algebras for any Hopf operad $P$. As a special case, we recover the Connes-Kreimer Hopf algebra of rooted trees.Mathematical PhysicsK-Theory and HomologyQuantum Algebratext