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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Polynomial growth of the codimensions: a characterization


Authors: A. Giambruno and S. Mishchenko
Journal: Proc. Amer. Math. Soc. 138 (2010), 853-859
MSC (2010): Primary 17A50, 16R10, 16P90; Secondary 20C30
Published electronically: November 10, 2009
MathSciNet review: 2566551
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Abstract: Let $ A$ be a not necessarily associative algebra over a field of characteristic zero. Here we characterize the T-ideal of identities of $ A$ in case the corresponding sequence of codimensions is polynomially bounded.


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Additional Information

A. Giambruno
Affiliation: Dipartimento di Matematica e Applicazioni, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy
Email: a.giambruno@unipa.it

S. Mishchenko
Affiliation: Department of Algebra and Geometric Computations, Ulyanovsk State University, Ulyanovsk 432970, Russia
Email: mishchenkosp@mail.ru

DOI: http://dx.doi.org/10.1090/S0002-9939-09-10160-0
PII: S 0002-9939(09)10160-0
Keywords: Polynomial identity, cocharacter, codimension
Received by editor(s): March 9, 2009
Received by editor(s) in revised form: August 6, 2009
Published electronically: November 10, 2009
Additional Notes: The first author was partially supported by MIUR of Italy
The second author was partially supported by RFBR grant 07-01-00080.
Communicated by: Martin Lorenz
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.