---
tag: 0GZ6Y1H4RN
kind: concept
name: Ascending chain condition
aliases: [acc]
msc: [06A06]
sources:
  - url: https://en.wikipedia.org/wiki/Ascending_chain_condition
    locator: lead section
same_as:
  wikidata: Q2528476
  wikipedia: Ascending chain condition
---

## Summary

A partially ordered set satisfies the ascending chain condition when every increasing sequence of its elements is eventually constant.
The [[definition of the ascending chain condition|0ZCAXY9563]] states this precisely.