On the codimension growth of G-graded algebras

Details On the codimension growth of G-graded algebras On the codimension growth of G-graded algebras

2009-08-17

arxiv.org/abs/0908.2385v4

Mathematics

Rings and Algebras

9 pages

Scientific paper

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.

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