2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215272The numerical Hilbert series combinatorics and the comodule Hilbert series combinatorics are introduced, and some applications are presented, including the MacMahon Master Theorem.11 pages; to appear in International Journal of Geometric Methods in Mathematical Physics; conference in honour of Michel Dubois-VioletteRings and AlgebrasCombinatoricstext