---
tag: 0NZ8JA25WK
kind: concept
name: Module over a ring
msc: [16D10, 13C05]
sources:
  - url: https://en.wikipedia.org/wiki/Module_(mathematics)
    locator: Formal definition
same_as:
  wikidata: Q18848
  wikipedia: Module (mathematics)
---

## Summary

A module over a ring is an abelian group with a multiplication by the elements of the ring.
This multiplication satisfies the same axioms as for a vector space.