2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/62046We consider some special type extensions of an arbitrary Lie algebra ${\cal G}$, arising in the theory of Lie-Poisson structures over $({\cal G}^*)^n$, where ${\cal G}^*$ is the dual of ${\cal G}$. We show that some classes of these extensions can be constructed in a natural way using some linear bundles of Lie algebras.Latex, no figuresDynamical SystemsMathematical Physics37K30 (Primary) 37K05, 17B80 (Secondary)text