2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/38887We consider the design of a non-local MonteCarlo algorithm for $SU(3)$ lattice systems according to the idea of {\em embedding} the degrees of freedom corresponding to the center of the group $Z(3)$. As a crucial ingredient to reach this goal, we present a practical implementation of a cluster algorithm for $Z(3)$ systems with general random pair interaction.8 pagesHigh Energy Physics - LatticeEmbedding Z(3) in SU(3)text