2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62644We solve the word problem of the identity $x(yz) = (xy)(yz)$ by investigating a certain group describing the geometry of that identity. We also construct a concrete realization of the free system of rank~1 relative to the above identityLogicGroup Theory03D40, 08B20, 20N02text