# Finite integral domain

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)



## [Finite integral domain](https://ocme.evemisslab.com/en/atlas/atlas-finite-integral-domain/)

A finite commutative unital ring with 1 distinct from 0 is an integral domain when it has no nonzero zero divisors.

atlas-finite-integral-domain · canonical_mko

[Finite integral domain](https://ocme.evemisslab.com/en/mko/mko-finite-integral-domain/)

## Prerequisite nodes


- [Finite commutative ring](https://ocme.evemisslab.com/en/atlas/atlas-finite-commutative-ring/)
- [Proposition](https://ocme.evemisslab.com/en/atlas/atlas-proposition/)
- [Quantifiers and explicit domains](https://ocme.evemisslab.com/en/atlas/atlas-quantifier/)