2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145925A clone on a set X is a set of finitary operations on X which contains all projections and which is moreover closed under functional composition. Ordering all clones on X by inclusion, one obtains a complete algebraic lattice, called the clone lattice. We summarize what we know about the clone lattice on an infinite base set X and formulate what we consider the most important open problems.37 pagesRings and AlgebrasLogic08A40; 08A05text