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Artinian ring

From Commalg

Revision as of 15:31, 30 June 2007 by Vipul (talk | contribs) (→‎Definition for non-commutative rings)

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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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