# prime element

> nonzero, non-unit element p in a commutative ring R such that, whenever p divides ab for some a and b in R, then p divides a or p divides b (or both)

**Wikidata**: [Q240651](https://www.wikidata.org/wiki/Q240651)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Prime_element)  
**Source**: https://4ort.xyz/entity/prime-element


## References

1. Freebase Data Dumps. 2013
2. MathWorld
3. [OpenAlex](https://docs.openalex.org/download-snapshot/snapshot-data-format)