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Noetherian module
In ring theory, if R is a ring and M is a module over R, then M is Noetherian if M satisfies the ascending chain condition on its submodules when they are ordered by inclusion.
Noetherian modules are named in honor of Emmy Noether.
Any finitely generated module over a Noetherian ring is a Noetherian module.
Last updated: 10-14-2005 01:30:42
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