A Closed Formula for the Product in Simple Integral Extensions

Natalio H. Guersenzvaig, Fernando Szechtman

Let $\xi$ be an algebraic number and let $\alpha ,\beta \in \mathbb{Q}[\xi ]$. An explicit formula for the coordinates of the product $\alpha \beta$ is given in terms of the coordinates of $\alpha$ and $\beta$ and th…