English

Simple G-graded algebras and their polynomial identities

Rings and Algebras 2011-11-16 v2

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.

Keywords

Cite

@article{arxiv.1107.4713,
  title  = {Simple G-graded algebras and their polynomial identities},
  author = {Eli Aljadeff and Darrell Haile},
  journal= {arXiv preprint arXiv:1107.4713},
  year   = {2011}
}

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23 pages