descending chain condition

A partially ordered set $S$ (for example, a collection of subsets of a set $X$, ordered by inclusion) satisfies the descending chain condition or DCC if there does not exist an infinite descending chain $s_1>s_2>\mathrm{\cdots }$ of elements of $S$.

See also the ascending chain condition (ACC).

Title	descending chain condition
Canonical name	DescendingChainCondition
Date of creation	2013-03-22 12:01:14
Last modified on	2013-03-22 12:01:14
Owner	antizeus (11)
Last modified by	antizeus (11)
Numerical id	7
Author	antizeus (11)
Entry type	Definition
Classification	msc 06A99
Synonym	DCC