2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124743In this work nul-filiform and filiform Zinbiel algebras are described up to isomorphism. Moreover, the classification of complex Zinbiel algebras is extended from dimensions $\leq 3$ up to the dimension $4.$13 pages. submitted to Collectanea MathematicaRings and Algebras17A32text