2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/164633Let $F^λ_σ [G]$ be a crossed product of a group $G$ and the field $F$. We study the Lie properties of $F^λ_σ [G]$ in order to obtain a characterization of those crossed products which are upper (lower) Lie nilpotent and Lie $(n,m)$-Engel.14 pagesRings and AlgebrasRepresentation Theory16S34; 16U60; 20C05text