On the codimension growth of G-graded algebras
Rings and Algebras
2009-11-21 v4
Abstract
Let W be an associative PI-affine algebra over a field F of characteristic zero. Suppose W is G-graded where G is a finite group. Let exp(W) and exp(W_e) denote the codimension growth of W and of the identity component W_e, respectively. We prove: exp(W) \leq |G|^2 exp(W_e). This inequality had been conjectured by Bahturin and Zaicev.
Keywords
Cite
@article{arxiv.0908.2385,
title = {On the codimension growth of G-graded algebras},
author = {Eli Aljadeff},
journal= {arXiv preprint arXiv:0908.2385},
year = {2009}
}
Comments
9 pages