### Abstract

Lingua originale | English |
---|---|

pagine (da-a) | 599-611 |

Numero di pagine | 13 |

Rivista | Default journal |

Volume | 19 |

Stato di pubblicazione | Published - 2016 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cita questo

*Default journal*,

*19*, 599-611.

**Varieties of Algebras with Superinvolution of Almost Polynomial Growth.** / Giambruno, Antonino; La Mattina, Daniela; Ioppolo, Antonio.

Risultato della ricerca: Article

*Default journal*, vol. 19, pagg. 599-611.

}

TY - JOUR

T1 - Varieties of Algebras with Superinvolution of Almost Polynomial Growth

AU - Giambruno, Antonino

AU - La Mattina, Daniela

AU - Ioppolo, Antonio

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Growth

KW - Mathematics (all)

KW - Polynomial identity

KW - Superinvolution

UR - http://hdl.handle.net/10447/199187

M3 - Article

VL - 19

SP - 599

EP - 611

JO - Default journal

JF - Default journal

ER -