Minimal Varieties and Identities of Relatively Free Algebras

Dimas José Gonçalves, Thiago Castilho de Mello

Let $K$ be a field of characteristic zero and let ${\mathfrak{M}}_5$ be the variety of associative algebras over $K$, defined by the identity $[x_1,x_2][x_3,x_4,x_5]$. It is well-kno…