# Definition:Polynomial over Ring as Sequence

(Redirected from Definition:Polynomial over Field as Sequence)

Jump to navigation
Jump to search
## Definition

Let $R$ be a commutative ring with unity.

A **polynomial** over $R$ can be defined as a sequence in $R$ whose domain is $\N$ and which has finite support.

That is, it is an element of the ring of sequences of finite support.

Because a field is a commutative ring with unity, this applies in particular to a field.