Relatively free algebras with the identity x^3=0

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/113967A base of a relatively free associative algebra with the identity x^3=0 over a field of arbitrary characteristic is found. As an application a minimal generating system of the 3x3 matrix invariant algebra is determined.Rings and Algebras16R10 (Primary) 13A50, 15A72, 16R30 (Secondary)Relatively free algebras with the identity x^3=0text