2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63239We study the ring generated over a field of characteristic 0 by noncommuting indeterminates {x_1,x_2,...,x_n} subject only to the relations x_iσ_k=σ_k x_i, for i,k=1,2,...,n, and their consequences, where σ_k =σ_k(x_1,x_2,...,x_n) is the k-th elementary polynomial in the noncommuting variables x_i. We assume n\geq 3 throughout.18 pagesRings and AlgebrasCombinatoricstext