---
tag: 07RGNK57ED
kind: concept
name: Divisibility in a commutative ring
msc: [13A05]
sources:
  - url: https://en.wikipedia.org/wiki/Divisibility_(ring_theory)
    locator: lead section
same_as:
  wikidata: Q5284415
  wikipedia: Divisibility (ring theory)
---

## Summary

In a commutative ring, an element $a$ divides an element $b$ when $b$ is a multiple of $a$.
The [[definition of divisibility|04GNK7K4VP]] states this precisely.