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 language | English |
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Pages (from-to) | 1749-1771 |
Number of pages | 23 |
Journal | Transactions of the American Mathematical Society |
Volume | 366 |
Issue number | 4 |
DOIs | |
State | Published - 2014 |
Externally published | Yes |
Keywords
- Graded algebra
- Polynomial identity