---
tag: 0XR2QK49V6
kind: concept
name: Greatest element
aliases: [maximum, greatest-element]
msc: [06A06]
sources:
  - url: https://en.wikipedia.org/wiki/Greatest_element_and_least_element
    locator: lead section
---

## Summary

The greatest element of a subset of a partially ordered set is an element of the subset that is above every element of the subset.