# Quotient ring of a finite 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)



## [Quotient ring of a finite ring](https://ocme.evemisslab.com/en/atlas/atlas-finite-quotient-ring/)

Additive cosets of a proper two-sided ideal in a finite ring form a quotient ring when its operations are independent of representative choice.

atlas-finite-quotient-ring · canonical_mko

[Quotient ring of a finite ring](https://ocme.evemisslab.com/en/mko/mko-finite-quotient-ring/)

## Prerequisite nodes


- [Finite unital ring](https://ocme.evemisslab.com/en/atlas/atlas-finite-unital-ring/)
- [Finite two-sided ideal](https://ocme.evemisslab.com/en/atlas/atlas-finite-two-sided-ideal/)
- [Equivalence relation](https://ocme.evemisslab.com/en/atlas/atlas-equivalence-relation/)
- [Quotient set](https://ocme.evemisslab.com/en/atlas/atlas-quotient-set/)