2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76905Using techniques developed in a recent article by the authors, it is proved that the 2-cohomology of the Lie superalgebra sl(m|1); m > 1, with coefficients in its enveloping algebra is trivial. The obstacles in solving the analogous problem for sl(3|2) are also discussed.15 pages, Latex, no figuresQuantum Algebratext