Simple G-graded algebras and their polynomial identities

Eli Aljadeff, Darrell Haile

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

Let G be any group and F an algebraically closed field of characteristic zero. We show that any G-graded finite dimensional associative G-simple algebra over F is determined up to a G-graded isomorphism by its G-graded polynomial identities. This result was proved by Koshlukov and Zaicev in case G is abelian.

Original languageEnglish
Pages (from-to)1749-1771
Number of pages23
JournalTransactions of the American Mathematical Society
Volume366
Issue number4
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • Graded algebra
  • Polynomial identity

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