$2$-Graded Identities for the Tensor Square of the Grassmann Algebra
Rings and Algebras
2014-07-08 v1
Abstract
We consider the algebra over an infinite field equipped with a -grading where the canonical basis is homogeneous and prove that in various cases the graded identites are just the ordinary ones. If the grading is a non-canonical grading obtained as a quotient grading of the natural -grading we exhibit a basis for the graded identities.
Keywords
Cite
@article{arxiv.1407.1305,
title = {$2$-Graded Identities for the Tensor Square of the Grassmann Algebra},
author = {Diogo Diniz Pereira da Silva e Silva},
journal= {arXiv preprint arXiv:1407.1305},
year = {2014}
}