---
tag: 0QVD7WBFGN
kind: concept
name: Integral domain
msc: [13G05]
sources:
  - url: https://en.wikipedia.org/wiki/Integral_domain
    locator: lead section
same_as:
  wikidata: Q628792
  wikipedia: Integral domain
---

## Summary

An integral domain is a nonzero commutative ring in which the product of two nonzero elements is never zero.
The integers are the model example.
The [[definition of an integral domain|09S3PFBEPM]] gives the conditions.