Superidentities for the algebras $U{T}_2$ and $U{T}_3$ on a finite field

Ronald Ismael Quispe Urure, Tatiana Aparecida Gouveia

Let $F$ be a finite field and consider $U{T}_n$ the algebra of $n\times n$ upper triangular matrices over $F$. In [1], it was proved that every $G$-grading is elementary. I…