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

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 $M_n(K)$.

Cited by in corpus (2)

• $2$-Graded Identities for the Tensor Square of the Grassmann Algebra
• Graded polynomial identities and central polynomials of matrices over an infinite integral domain