2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216500The aim of this work is to determine the quasi-filiform Lie algebras that are completable. We further prove that for any positive integer $m$ there exists a complete Lie algebra, the second cohomology group of which has dimension greater or equal than $m$.13 pages. Text in frenchRings and Algebras17B30Sur les algèbres de Lie quasi-filiformes complétables [On completable quasi-filiform Lie algebras]text