integrally closed ring
type: Concept
preferred label: حلقه صحیحا بسته @fa
related: going down theorem

integral extension
type: Concept
preferred label: توسیع صحیح @fa
related: going down theorem

going down theorem
type: Concept
broader: integral closure
preferred label: قضیه پایین رفتن @fa
related: ideal
related: chain of ideals
related: integral extension
related: extended ideal
related: prime ideal
related: integral domain
related: integrally closed ring

integral closure
type: Concept
narrower: going down theorem
preferred label: بستار صحیح @fa

prime ideal
type: Concept
preferred label: ایده‌آل اول @fa
related: going down theorem

extended ideal
type: Concept
preferred label: ایده‌آل منبسط @fa
related: going down theorem

chain of ideals
type: Concept
preferred label: زنجیر ایده‌آل‌ها @fa
related: going down theorem

ideal
type: Concept
preferred label: ایده‌آل @fa
related: going down theorem

integral domain
type: Concept
preferred label: دامنه صحیح @fa
related: going down theorem