$\mathbb{Z}_{2}$-graded identities of the Grassmann algebra over a finite field (update version)

Luís Felipe Gonçalves Fonseca

paper

$Z_{2}$ -graded identities of the Grassmann algebra over a finite field (update version)

arXiv:1707.07652

Abstract

Let $F$ be a finite field with the characteristic $p > 2$ and let $G$ be the unitary Grassmann algebra generated by an infinite dimensional vector space $V$ over $F$ . In this paper, we determine a basis for $Z_{2}$ -graded polynomial identities for any non-trivial $Z_{2}$ -grading such that its underlying vector space is homogeneous.

15 pages. arXiv admin note: text overlap with arXiv:1403.0888

Z2​-graded identities of the Grassmann algebra over a finite field (update version)

Abstract

$Z_{2}$ -graded identities of the Grassmann algebra over a finite field (update version)