---
tag: 0YMT0D2442
kind: concept
name: Irreducible element
msc: [13A05]
sources:
  - url: https://en.wikipedia.org/wiki/Irreducible_element
    locator: lead section
same_as:
  wikidata: Q2989575
  wikipedia: Irreducible element
---

## Summary

An irreducible element of an integral domain is a nonzero nonunit that is not a product of two nonunits.
The [[definition of an irreducible element|052SDEPZH7]] gives the conditions.