2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79828We introduce a family of compatible Poisson brackets on the space of rational functions with denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a family of integrable lattice equations that includes both the standard and the relativistic Toda lattices.12 pages, LatexExactly Solvable and Integrable Systemstext