representation of Artinian ring
type: Concept
preferred label: نمایش حلقه آرتینی @fa
related: Artinian ring

maximal ideal
type: Concept
preferred label: ایده‌آل ماکسیمال @fa
related: Artinian ring

ideal
type: Concept
preferred label: ایده‌آل @fa
related: Artinian ring

Artinian algebra
type: Concept
preferred label: جبر آرتینی @fa
related: Artinian ring

zero-dimensional ring
type: Concept
preferred label: حلقه صفربعدی @fa
related: Artinian ring

semi-local ring
type: Concept
preferred label: حلقه نیم‌موضعی @fa
related: Artinian ring

zero ring
type: Concept
preferred label: حلقه صفر @fa
related: Artinian ring

Artinian ring
type: Concept
broader: descending chain
preferred label: حلقه آرتینی @fa
related: Noetherian ring
related: semi-local ring
related: Artinian algebra
related: ideal
related: Hopkins theorem
related: zero ring
related: representation of Artinian ring
related: maximal ideal
related: double centralizer theorem
related: zero-dimensional ring

descending chain
type: Concept
narrower: Artinian ring
preferred label: زنجیر کاهشی @fa

Noetherian ring
type: Concept
preferred label: حلقه نوتری @fa
related: Artinian ring

double centralizer theorem
type: Concept
preferred label: قضیه مرکزساز دوگانه @fa
related: Artinian ring

Hopkins theorem
type: Concept
preferred label: قضیه هاپکینز @fa
related: Artinian ring