2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100802We use a coproduct on the time-ordered algebra of field operators to derive simple relations between complete, connected and 1-particle irreducible n-point functions. Compared to traditional functional methods our approach is much more intrinsic and leads to efficient algorithms suitable for concrete computations. It may also be used to efficiently perform tree level computations.26 pages, LaTeX + AMS + eepic; minor corrections and modificationsMathematical PhysicsHigh Energy Physics - TheoryCombinatoricstext