2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72494We study Lie algebra prederivations. A Lie algebra admitting a non-singular prederivation is nilpotent. We classify filiform Lie algebras admitting a non-singular prederivation but no non-singular derivation. We prove that any 4-step nilpotent Lie algebra admits a non-singular prederivation. The results can be applied to construct affine structures on Lie algebras.13 pagesRings and AlgebrasLie Algebra Prederivations and strongly nilpotent Lie Algebrastext