Artinian
From Free net encyclopedia
In mathematics, Artinian is an adjective that describes objects that satisfy particular cases of the descending chain condition.
A ring is an Artinian ring if it satisfies the descending chain condition on ideals.
A module is an Artinian module if it satisfies the descending chain condition on submodules.
The concept is named for Emil Artin, who classified all simple rings whose one-sided ideals satisfy the descending chain condition.