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

preprint2014arXivOpen access

Abstract

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

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