2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170076This note is devoted to the construction of two very easy examples, of respective dimensions 4 and 6, of graded Lie algebras whose grading is not given by a semigroup, the latter one being a semisimple algebra. It is shown that 4 is the minimal possible dimension.4 pagesRings and Algebras17B70text