2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57106In the present paper geometric aspects of relationship between non-Noether symmetries and conservation laws in Hamiltonian systems is discussed. It is shown that integrals of motion associated with continuous non-Noether symmetry are in involution whenever generator of the symmetry satisfies certain Yang-Baxter equation.LaTeX 2e, 6 pages, no foguresMathematical Physics70H33, 70H06, 53Z05text