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On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields

Published 4 Jul 2014 in math.RA | (1407.1288v1)

Abstract: We find a basis for the $G$-graded identities of the $n\times n$ matrix algebra $M_n(K)$ over an infinite field $K$ of characteristic $p>0$ with an elementary grading such that the neutral component corresponds to the diagonal of $M_n(K)$.

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