Abstract
We show that there exists a constant K such that for any PI-algebra W and any nondegenerate G-grading on W where G is any group (possibly infinite), there exists an abelian subgroup U of G with [G:U]≤exp(W)K. A G-grading W=⊕g∈GWg is said to be nondegenerate if Wg1Wg2.Wgr≠0 for any r≥1 and any r tuple (g1, g2,., gr) in Gr.
Original language | English |
---|---|
Pages (from-to) | 403-424 |
Number of pages | 22 |
Journal | Journal of Algebra |
Volume | 428 |
DOIs | |
State | Published - 5 Apr 2015 |
Keywords
- Codimension growth
- Graded algebra
- Polynomial identity
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory