Simple G-graded algebras and their polynomial identities

Published 23 Jul 2011 in math.RA | (1107.4713v2)

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.

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