2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139891We prove that the lattice Eq(X) of all equivalence relations on an infinite set X contains, as a 0,1-sublattice, the 0-coproduct of two copies of itself, thus answering a question by G.M. Bergman. Hence, by using methods initiated by de Bruijn and further developed by Bergman, we obtain that Eq(X) also contains, as a sublattice, the coproduct of 2^{card(X)} copies of itself.To appear in Acta Sci. Math. (Szeged)Rings and Algebras06B15 (Primary); 06B10, 06B25 (Secondary)text