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.
|Number of pages||23|
|Journal||Transactions of the American Mathematical Society|
|State||Published - 2014|
- Graded algebra
- Polynomial identity