Ring satisfying ACCP

This article defines a property of commutative unital rings; a property that can be evaluated for a commutative unital ring
View all properties of commutative unital rings
VIEW RELATED: Commutative unital ring property implications | Commutative unital ring property non-implications |Commutative unital ring metaproperty satisfactions | Commutative unital ring metaproperty dissatisfactions | Commutative unital ring property satisfactions | Commutative unital ring property dissatisfactions

Definition

Symbol-free definition

A commutative unital ring is said to satisfy ACCP (or the ascending chain condition on principal ideals) if any ascending chain of principal ideals becomes constant after finitely many steps.

Relation with other properties

Stronger properties

• Noetherian ring
• Unique factorization domain