Graded identities for matrix algebras of order two over a finite field

Diogo Diniz, Eduardo Pinto da Fonsêca, Luis Filipe Ramos

Let $G$ be an arbitrary group and let $\mathbb{F}$ be a finite field. In this paper, we determine bases for the $T_G$-ideals of graded polynomial identities of the algebra $M_2(\ma…