Science Fair Project Encyclopedia
Artinian
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.
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details