Simple G-graded algebras and their polynomial identities

Details Simple G-graded algebras and their polynomial identities Simple G-graded algebras and their polynomial identities

2011-07-23

arxiv.org/abs/1107.4713v2

Mathematics

Rings and Algebras

23 pages

Scientific paper

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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