2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/230952We define a homology theory for a certain class of posets equipped with a representation. We show that when restricted to Boolean lattices this homology is isomorphic to the homology of the "cube" complex defined by Khovanov.18 pages. Minor changes, including a strengthening of the main theoremGeometric TopologyCombinatoricstext