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# Mathematical Research Letters

## Volume 14 (2007)

### Number 1

### On the multiplication map of a multigraded algebra

Pages: 129 – 136

DOI: http://dx.doi.org/10.4310/MRL.2007.v14.n1.a11

#### Authors

#### Abstract

Given a multigraded algebra $A$, it is a natural question whether or not for two homogeneous components $A_u$ and $A_v$, the product $A_{nu}A_{nv}$ is the whole component $A_{nu+nv}$ for $n$ big enough. We give combinatorial and geometric answers to this question.