### Abstract

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

pagine (da-a) | 312-320 |

Numero di pagine | 9 |

Rivista | SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES |

Volume | 10 |

Stato di pubblicazione | Published - 2016 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Statistics, Probability and Uncertainty
- Computational Theory and Mathematics

### Cita questo

*SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES*,

*10*, 312-320.

**On algebras of polynomial codimension growth.** / La Mattina, Daniela.

Risultato della ricerca: Article

*SÃO PAULO JOURNAL OF MATHEMATICAL SCIENCES*, vol. 10, pagg. 312-320.

}

TY - JOUR

T1 - On algebras of polynomial codimension growth

AU - La Mattina, Daniela

PY - 2016

Y1 - 2016

N2 - Let A be an associative algebra over a ﬁeld F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(A), n = 1,2,..., cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded.

AB - Let A be an associative algebra over a ﬁeld F of characteristic zero and let c_n(A), n = 1,2,..., be the sequence of codimensions of A. It is well-known that c_n(A), n = 1,2,..., cannot have intermediate growth, i.e., either is polynomially bounded or grows exponentially. Here we present some results on algebras whose sequence of codimensions is polynomially bounded.

UR - http://hdl.handle.net/10447/208875

M3 - Article

VL - 10

SP - 312

EP - 320

JO - Sao Paulo Journal of Mathematical Sciences

JF - Sao Paulo Journal of Mathematical Sciences

SN - 1982-6907

ER -