Polynomial growth of the codimensions: a characterization
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- by A. Giambruno and S. Mishchenko PDF
- Proc. Amer. Math. Soc. 138 (2010), 853-859 Request permission
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.References
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Additional Information
- A. Giambruno
- Affiliation: Dipartimento di Matematica e Applicazioni, Università di Palermo, Via Archirafi 34, 90123 Palermo, Italy
- MR Author ID: 73185
- ORCID: 0000-0002-3422-2539
- Email: a.giambruno@unipa.it
- S. Mishchenko
- Affiliation: Department of Algebra and Geometric Computations, Ulyanovsk State University, Ulyanovsk 432970, Russia
- MR Author ID: 189236
- Email: mishchenkosp@mail.ru
- 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
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 853-859
- MSC (2010): Primary 17A50, 16R10, 16P90; Secondary 20C30
- DOI: https://doi.org/10.1090/S0002-9939-09-10160-0
- MathSciNet review: 2566551