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Matrix algebras of polynomial codimension growth

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Abstract

We study associative algebras with unity of polynomial codimension growth. For any fixed degree k we construct associative algebras whose codimension sequence has the largest and the smallest possible polynomial growth of degree k. We also explicitly describe the identities and the exponential generating functions of these algebras.

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Authors and Affiliations

  1. Dipartimento di Matematica ed Applicazioni, Università di Palermo, Via Archirafi 34, 90123, Palermo, Italy

    A. Giambruno & D. La Mattina

  2. Faculty of Mathematics, Ulyanovsk State University, Leo Tolstoy 42, Ulyanovsk, 432970, Russia

    V. M. Petrogradsky

Authors
  1. A. Giambruno
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  2. D. La Mattina
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  3. V. M. Petrogradsky
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Additional information

The first and second authors were partially supported by MIUR of Italy.

The third author was partially supported by Grant RFBR-04-01-00739.

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Giambruno, A., La Mattina, D. & Petrogradsky, V.M. Matrix algebras of polynomial codimension growth. Isr. J. Math. 158, 367–378 (2007). https://doi.org/10.1007/s11856-007-0017-7

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  • DOI: https://doi.org/10.1007/s11856-007-0017-7

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