nLab
descending chain condition

Definition

A ring RR is said to satisfy the descending chain condition on left (resp. right, two-sided) ideals if any totally ordered subset 𝒮\mathcal{S} of the set of left (resp. right, two-sided) ideals of RR (in the partial order given by the inclusion) has a minimum.

Last revised on February 15, 2016 at 14:05:33. See the history of this page for a list of all contributions to it.