\begin{definition}[Definition:Null Polynomial/Polynomial Form]
Let $f = a_1 \mathbf X^{k_1} + \cdots + a_r \mathbf X^{k_r}$ be a polynomial form over $R$ in the indeterminates $\left\{{X_j: j \in J}\right\}$.
For all $i = 1, 2, \ldots, r$, let $a_i = 0$.
Then $f$ is the '''null polynomial''' in the indeterminates $\left\{{X_j: j \in J}\right\}$.
Category:Definitions/Polynomial Theory
\end{definition}