Simple -graded algebras and their polynomial identities

Authors:
Eli Aljadeff and Darrell Haile

Journal:
Trans. Amer. Math. Soc. **366** (2014), 1749-1771

MSC (2010):
Primary 16R50, 16R10, 16W50

DOI:
https://doi.org/10.1090/S0002-9947-2013-05842-4

Published electronically:
November 14, 2013

MathSciNet review:
3152711

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be any group and an algebraically closed field of characteristic zero. We show that any -graded finite dimensional associative -simple algebra over is determined up to a -graded isomorphism by its -graded polynomial identities. This result was proved by Koshlukov and Zaicev in case is abelian.

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Additional Information

**Eli Aljadeff**

Affiliation:
Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel

**Darrell Haile**

Affiliation:
Department of Mathematics, Indiana University, 831 E 3rd Street, Bloomington, Indiana 47405

DOI:
https://doi.org/10.1090/S0002-9947-2013-05842-4

Keywords:
Graded algebra,
polynomial identity

Received by editor(s):
November 25, 2011

Received by editor(s) in revised form:
March 31, 2012

Published electronically:
November 14, 2013

Additional Notes:
The first author was supported by the Israel Science Foundation (grant No. 1017/12)

Article copyright:
© Copyright 2013
American Mathematical Society