### Abstract

Let A be an associative algebra with superinvolution ∗ over a field of characteristic zero and let c_n∗(A) be its sequence of corresponding ∗-codimensions. In case A is finite dimensional, we prove that such sequence is polynomially bounded if and only if the variety generated by A does not contain three explicitly described algebras with superinvolution. As a consequence we find out that no intermediate growth of the ∗-codimensions between polynomial and exponential is allowed.

Lingua originale | English |
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pagine (da-a) | 599-611 |

Numero di pagine | 13 |

Rivista | Algebras and Representation Theory |

Volume | 19 |

Stato di pubblicazione | Published - 2016 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cita questo

Giambruno, A., La Mattina, D., & Ioppolo, A. (2016). Varieties of Algebras with Superinvolution of Almost Polynomial Growth.

*Algebras and Representation Theory*,*19*, 599-611.