On group gradings on PI-algebras

Eli Aljadeff, Ofir David*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish
Pages (from-to)403-424
Number of pages22
JournalJournal of Algebra
Volume428
DOIs
StatePublished - 5 Apr 2015

Keywords

  • Codimension growth
  • Graded algebra
  • Polynomial identity

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