Noetherian ring
= Noetherian ring
{wiki=Noetherian_ring}
A Noetherian ring is a specific type of ring in algebra that satisfies a property related to the concept of ideal containment. A ring \\( R \\) is called Noetherian if it satisfies any of the following equivalent conditions: 1. **Ascending Chain Condition on Ideals (ACC)**: Every ascending chain of ideals in \\( R \\) stabilizes.