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Ascending chain condition on principal ideals

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Fields of abstract algebra Ring theory Ideals (ring theory)
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The Ascending Chain Condition (ACC) on principal ideals is a property related to the structure of a ring in the context of ideal theory. Specifically, a ring \( R \) satisfies the ACC on principal ideals if any ascending chain of principal ideals eventually stabilizes.

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