### Abstract

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

Pagine | 189-198 |

Numero di pagine | 10 |

Stato di pubblicazione | Published - 2009 |

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*Polynomial codimension growth of graded algebras*. 189-198.

**Polynomial codimension growth of graded algebras.** / La Mattina, Daniela.

Risultato della ricerca: Other

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TY - CONF

T1 - Polynomial codimension growth of graded algebras

AU - La Mattina, Daniela

PY - 2009

Y1 - 2009

N2 - We study associative $G$-graded algebras with 1 of polynomial $G$-codimensiongrowth, where $G$ is a finite group. For any fixed $k\geq 1,$ weconstruct associative $G$-graded algebras of upper triangularmatrices whose $G$-codimension sequence is given asymptotically by apolynomial of degree $k$ whose leading coefficient is the largest orsmallest possible.

AB - We study associative $G$-graded algebras with 1 of polynomial $G$-codimensiongrowth, where $G$ is a finite group. For any fixed $k\geq 1,$ weconstruct associative $G$-graded algebras of upper triangularmatrices whose $G$-codimension sequence is given asymptotically by apolynomial of degree $k$ whose leading coefficient is the largest orsmallest possible.

KW - G-codimensions

KW - Graded algebra

KW - graded identity

UR - http://hdl.handle.net/10447/40095

M3 - Other

SP - 189

EP - 198

ER -