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arXiv · 1707.07652

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

Luís Felipe Gonçalves Fonseca
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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 $\mathbb{Z}_{2}$-graded polynomial identities for any non-trivial $\mathbb{Z}_{2}$-grading such that its underlying vector space is homogeneous.

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Luís Felipe Gonçalves Fonseca. 2017-07-24. $\mathbb{Z}_{2}$-graded identities of the Grassmann algebra over a finite field (update version). https://arxiv.org/abs/1707.07652

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