Graded monomial identities and almost non-degenerate gradings on matrices

Lucio Centrone, Diogo Diniz, Thiago Castilho de Mello

Let $F$ be a field of characteristic zero, $G$ be a group and $R$ be the algebra $M_n(F)$ with a $G$-grading. Bahturin and Drensky proved that if $R$ is an elementary and the neutr…