Artinian property
preferred label: ویژگی آرتینی @fa
type: Concept
related: descending chain

descending chain
related: Artinian property
related: perfect ring
related: Krull-Schmidt theorem
related: minimal condition
related: Artinian module
related: ideal
related: complete ring
preferred label: زنجیر کاهشی @fa
type: Concept
broader: chain conditions
narrower: Artinian ring

perfect ring
preferred label: حلقه تام @fa
type: Concept
related: descending chain

Krull-Schmidt theorem
preferred label: قضیه کرول-اشمیت @fa
type: Concept
related: descending chain

minimal condition
preferred label: شرط مینیمال @fa
type: Concept
related: descending chain

Artinian module
preferred label: مدول آرتینی @fa
type: Concept
related: descending chain

ideal
preferred label: ایده‌آل @fa
type: Concept
related: descending chain

complete ring
preferred label: حلقه کامل @fa
type: Concept
related: descending chain

chain conditions
preferred label: شرایط زنجیری @fa
type: Concept
narrower: descending chain

Artinian ring
preferred label: حلقه آرتینی @fa
type: Concept
broader: descending chain