### Abstract

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

pagine (da-a) | 3405-3415 |

Numero di pagine | 11 |

Rivista | Proceedings of the American Mathematical Society |

Volume | 135 |

Stato di pubblicazione | Published - 2007 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

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*Proceedings of the American Mathematical Society*,

*135*, 3405-3415.

**Codimension growth of two-dimensional algebras.** / Giambruno, Antonino; Zaicev, Mikhail; Giambruno; Mishchenko, Sergey.

Risultato della ricerca: Article

*Proceedings of the American Mathematical Society*, vol. 135, pagg. 3405-3415.

}

TY - JOUR

T1 - Codimension growth of two-dimensional algebras

AU - Giambruno, Antonino

AU - Zaicev, Mikhail

AU - Giambruno, null

AU - Mishchenko, Sergey

PY - 2007

Y1 - 2007

N2 - Let F be a field of characteristic zero and let A be a two-dimensional non-associative algebra over F. We prove that the sequence c_n(A), n=1, 2, . . . , of codimensions of A is either bounded by n + 1 or grows exponentially as 2^n. We also construct a family of two-dimensional algebras indexed by rational numbers with distinct T-ideals of polynomial identities and whose codimension sequence is n + 1, n ≥ 2.

AB - Let F be a field of characteristic zero and let A be a two-dimensional non-associative algebra over F. We prove that the sequence c_n(A), n=1, 2, . . . , of codimensions of A is either bounded by n + 1 or grows exponentially as 2^n. We also construct a family of two-dimensional algebras indexed by rational numbers with distinct T-ideals of polynomial identities and whose codimension sequence is n + 1, n ≥ 2.

UR - http://hdl.handle.net/10447/13813

M3 - Article

VL - 135

SP - 3405

EP - 3415

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

ER -