2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/80769Based on the structure of Casimir elements associated with general Hopf algebras there are constructed Liouville-Arnold integrable flows related with naturally induced Poisson structures on arbitrary co-algebra and their deformations. Some interesting special cases including the oscillatory Heisenberg-Weil algebra related co-algebra structures and adjoint with them integrable Hamiltonian systems are considered.12 pagesExactly Solvable and Integrable SystemsOn the Liouville-Arnold integrable flows related with quantum algebras and their Poissonian representationstext