---
tag: 0QM2G72DXA
kind: concept
name: Product of rings
aliases: [direct-product-of-rings]
msc: [16B99]
sources:
  - url: https://en.wikipedia.org/wiki/Product_of_rings
    locator: lead section
same_as:
  wikidata: Q3406712
  wikipedia: Product of rings
---

## Summary

The product of a family of rings is the set of tuples of their elements, with addition and multiplication in each coordinate.
The [[definition of the product of rings|0MNZCN4BQK]] gives the operations.