English

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

Rings and Algebras 2014-07-08 v1

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).

Keywords

Cite

@article{arxiv.1407.1288,
  title  = {On the Graded Identities for Elementary Gradings in Matrix Algebras over Infinite Fields},
  author = {Diogo Diniz Pereira da Silva e Silva},
  journal= {arXiv preprint arXiv:1407.1288},
  year   = {2014}
}