A note on $\mathbb{Z}$-gradings on the Grassmann algebra and Elementary Number Theory

Alan Guimarães, Claudemir Fidelis, Plamen Koshlukov

Let $E$ be the Grassmann algebra of an infinite dimensional vector space $L$ over a field of characteristic zero. In this paper, we study the $\mathbb{Z}$-gradings on $E$ having th…