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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
Posted:
November 10, 2009
MathSciNet review:
2566551
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Additional Information
Abstract: Let  be a not necessarily associative algebra over a field of characteristic zero. Here we characterize the T-ideal of identities of  in case the corresponding sequence of codimensions is polynomially bounded.
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 , Israel J. Math. 11 (1972), 131-152. MR 0314893 (47:3442)
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![$ [[X\sb{1}, X\sb{2}, X\sb{3}], [X\sb{4}, X\sb{5}, X\sb{6}]]=0$](/proc/2010-138-03/S0002-9939-09-10160-0/gif-references0/img2.gif) over a field of characteristic zero (Russian), Sibirsk. Mat. Zh. 25 (1984), 3, 40-54. MR 746940 (85k:17016)
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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
Posted:
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.
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