# Definition:Polynomial over Ring as Sequence

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## 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.

## Also see

## Sources

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