2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/105035It is proved that the derivation algebra of a centerless perfect Lie algebra of arbitrary dimension over any field of arbitrary characteristic is complete and that the holomorph of a centerless perfect Lie algebra is complete if and only if its outer derivation algebra is centerless.LaTeX, 9 pagesQuantum AlgebraRings and Algebras17B05text