2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73075We shall work with the so called duality triads following kwaśniewski. In particular in this note we propose some extensions of them - hence we choose such special class of triads that admit - all at once - a unified combinatorial interpretation in a way konvalina does. The proposed extensions contain also definition of operator valued arrays of konvalina-like coefficients - for the sake of future investigation and applications.14 pagesCombinatorics11Bxx, 05A40, 81S99text