2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80130A hierarchy of commutative Poisson subalgebras for the Sklyanin bracket is proposed. Each of the subalgebras provides a complete set of integrals in involution with respect to the Sklyanin bracket. Using different representations of the bracket, we find some integrable models and a separation of variables for them. The models obtained are deformations of known integrable systems like the Goryachev-Chaplygin top, the Toda lattice and the Heisenberg model.11 pages, LaTeX with amssymbExactly Solvable and Integrable Systemstext