# Definition:Null Polynomial/Ring

< Definition:Null Polynomial(Redirected from Definition:Null Polynomial over Ring)

## Definition

Let $\left({R, +, \times}\right)$ be a ring.

The zero $0_R$ of $R$ can be considered as being the **null polynomial over $R$** of any arbitrary element $x$ of $R$.

## Also defined as

The same definition is used when $R$ is an integral domain or a field.