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

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

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

going up theorem
type: Concept
related: extended ideal
related: integral extension
related: ideal
related: chain of ideals
related: prime ideal
broader: integral closure
preferred label: قضیه بالا رفتن @fa

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

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

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