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

Diniz, Diogo et al.
arXiv (All) · Papers
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rings-and-algebras
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 $M_2(\mathbb{F})$ for all possible $G$-gradings. The bases obtained consist of finitely many non-trivial graded identities, and
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