2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63447We determine the solvable complete Lie algebras whose nilradical is isomorphic to a filiform Lie algebra. Moreover we show that for any positive integer $n$ there exists a solvable complete Lie algebras whose second cohomology group with values in the adjoint module has dimension at least $n$.11 pagesRings and Algebras17B05, 17B30text