# Introduction

A structure constant algebra $A$ of dimension $n$ over a ring $R$ can be defined in Magma by giving the $n^3$ *structure constants* $a_{ij}^k \in R ( 1 \le i, j, k \le n)$ such that, if ${e_1, e_2, \ldots, e_n}$ is the basis of $A$, $e_i * e_j = \sum_{k = 1}^n a_{ij}^k * e_k.$ Structure constant algebras may be defined over any unital ring $R$. However, many operations require that $R$ be a Euclidean domain or even a field.