# Finite two-sided ideal

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 two-sided ideal](https://ocme.evemisslab.com/en/atlas/atlas-finite-two-sided-ideal/)

A subset of a finite ring is a two-sided ideal when it is an additive subgroup and absorbs multiplication by parent-ring elements on both sides.

atlas-finite-two-sided-ideal · canonical_mko

[Finite two-sided ideal](https://ocme.evemisslab.com/en/mko/mko-finite-two-sided-ideal/)

## Prerequisite nodes


- [Finite unital ring](https://ocme.evemisslab.com/en/atlas/atlas-finite-unital-ring/)
- [Subset](https://ocme.evemisslab.com/en/atlas/atlas-subset/)
- [Finite abelian group](https://ocme.evemisslab.com/en/atlas/atlas-finite-abelian-group/)