If $R$ is a \index{commutative ring}, then $\polyring{R}{X,Y,Z}$
is a multivariate polynomial ring with indeterminates $X$, $Y$,
and $Z$, and coefficients in $R$. If $R$ is a moreover an integral
- domain, then its fraction field is $\Frac{R}$.
+ domain, then its fraction field is $\Frac{R}$. If $x,y,z \in R$,
+ then $\ideal{\set{x,y,z}}$ is the ideal generated by $\set{x,y,z}$,
+ which is defined to be the smallest ideal in $R$ containing that set.
\end{section}
\begin{section}{Algorithm}