2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101468We generalize Greenberger-Horne-Zeilinger (GHZ) nonlocality to every even-dimensional and odd-partite system. For the purpose we employ concurrent observables that are incompatible and nevertheless have a common eigenstate. It is remarkable that a tripartite system can exhibit the genuinely high-dimensional GHZ nonlocality.slightly revised and final version published in PRAQuantum Physicstext