# Polynomial ring over a finite commutative ring

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Polynomial ring over a finite commutative ring](https://ocme.evemisslab.com/en/atlas/atlas-polynomial-ring-over-finite-commutative-ring/)

Ordinary polynomials over a finite commutative coefficient ring have finite-support coefficient sequences, but the collection over all finite degrees is still infinite.

atlas-polynomial-ring-over-finite-commutative-ring · canonical_mko

[Polynomial ring over a finite commutative ring](https://ocme.evemisslab.com/en/mko/mko-polynomial-ring-over-finite-commutative-ring/)

## Prerequisite nodes


- [Finite commutative ring](https://ocme.evemisslab.com/en/atlas/atlas-finite-commutative-ring/)
- [Univariate polynomials over the rationals](https://ocme.evemisslab.com/en/atlas/atlas-polynomial/)
- [Sequence](https://ocme.evemisslab.com/en/atlas/atlas-sequence/)