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

2017/07/24 by Fonseca, Luís Felipe Gonçalves
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/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 ℤ₂-graded polynomial identities for any non-trivial ℤ₂-grading such that its underlying vector space is homogeneous.

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