On the Z_2-graded codimensions of the Grassmann algebra over a finite field
Rings and Algebras
2016-02-04 v1
Abstract
Let E be the infinite dimensional Grassmann algebra over a finite field F of characteristic not 2. In this paper we deal with the homogeneous Z_2-gradings of E. In particular, we compute an exact value for the Z_2-graded homogeneous codimensions of E, and a lower and an upper bound for the Z_2-graded (non-homogeneous) codimensions of E for each of its Z_2-homogeneous grading.
Keywords
Cite
@article{arxiv.1602.01214,
title = {On the Z_2-graded codimensions of the Grassmann algebra over a finite field},
author = {Lucio Centrone and Luís Felipe Fonseca Gonçalves},
journal= {arXiv preprint arXiv:1602.01214},
year = {2016}
}