# ascending chain condition

A partially ordered set $S$ (for example, a collection of subsets of a set $X$ when ordered by inclusion) satisfies the or ACC if there does not exist an infinite ascending chain $s_{1} of elements of $S$.

See also the descending chain condition (DCC).

Title ascending chain condition AscendingChainCondition 2013-03-22 12:01:12 2013-03-22 12:01:12 antizeus (11) antizeus (11) 8 antizeus (11) Definition msc 06A99 ACC FactorChainCondition