On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields
classification
🧮 math.RA
keywords
elementarygradedidentitiesinfinitematrixalgebraalgebrasbasis
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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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