---
tag: 0B1261B5ED
kind: concept
name: Ring
msc: [16B99]
sources:
  - url: https://en.wikipedia.org/wiki/Ring_(mathematics)
    locator: lead section
same_as:
  wikidata: Q161172
  wikipedia: Ring (mathematics)
---

## Summary

A ring is a set with an addition and a multiplication that obey the usual rules of arithmetic.
The multiplication need not be commutative.
The integers, the polynomials and the square matrices are the basic examples.
The [[definition of a ring|0894J980RK]] gives the axioms.