2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/112630We realize several combinatorial Hopf algebras based on set compositions, plane trees and segmented compositions in terms of noncommutative polynomials in infinitely many variables. For each of them, we describe a trialgebra structure, an internal product, and several bases.12 pages, LaTEX, to be presented at FPSAC'06Combinatoricstext