Simple G-graded algebras and their polynomial identities

Eli Aljadeff; Darrell Haile

doi:10.1090/S0002-9947-2013-05842-4

Simple G-graded algebras and their polynomial identities

Eli Aljadeff, Darrell Haile

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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
Pages (from-to)	1749-1771
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	366
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9947-2013-05842-4
State	Published - 2014
Externally published	Yes

Keywords

Graded algebra
Polynomial identity

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10.1090/S0002-9947-2013-05842-4

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AB - 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.

KW - Graded algebra

KW - Polynomial identity

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JF - Transactions of the American Mathematical Society

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Simple G-graded algebras and their polynomial identities

Abstract

Keywords

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