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