Nilradical of subring lemma

From Commalg
Jump to: navigation, search
This article is about the statement of a simple but indispensable lemma in commutative algebra
View other indispensable lemmata

Statement

Suppose R is a unital subring of a commutative unital ring S. Then, the nilradical of R equals the intersection of R with the nilradical of S.

Applications