Artinian ring: Difference between revisions
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Revision as of 15:31, 30 June 2007
Definition for commutative rings
Symbol-free definition
A commutative unital ring (or more generally a commutative ring) is termed Artinian if it satisfies the descending chain condition on ideals, that is, any descending chain of ideals stabilizes after a finite length.
Definition with symbols
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