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Ascending chain condition on principal ideals

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.

Ancestors (6)

  1. Ideals (ring theory)
  2. Ring theory
  3. Fields of abstract algebra
  4. Fields of mathematics
  5. Mathematics
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