2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/174899We compute the orders of free commutative Moufand loops of exponent 3 with $n\leq 7$ free generators and find embeddings of such loops into a loop of invertible elements of the free commutative alternative algebra with identity $x^3=0$.15 pagesRings and AlgebrasCombinatoricstext