On the codimension growth of -graded algebras

Author:
Eli Aljadeff

Journal:
Proc. Amer. Math. Soc. **138** (2010), 2311-2320

MSC (2010):
Primary 16P90, 16R10, 16W50

Published electronically:
March 10, 2010

MathSciNet review:
2607860

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Abstract: Let be an associative *PI*-affine algebra over a field of characteristic zero. Suppose is -graded where is a finite group. Let and denote the codimension growth of and of the identity component , respectively. We prove This inequality had been conjectured by Bahturin and Zaicev.

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Additional Information

**Eli Aljadeff**

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

Email:
aljadeff@tx.technion.ac.il

DOI:
https://doi.org/10.1090/S0002-9939-10-10282-2

Keywords:
Graded algebra,
polynomial identity

Received by editor(s):
August 29, 2009

Received by editor(s) in revised form:
November 3, 2009

Published electronically:
March 10, 2010

Additional Notes:
The author was partially supported by the Israel Science Foundation (grant No. 1283/08) and by the E. Schaver Research Fund

Communicated by:
Martin Lorenz

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.