# Ideals and Rings : Homomorphisms

Problem:

Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).

https://brainmass.com/math/ring-theory/ideals-rings-homomorphisms-17290

#### Solution Summary

The Second Isomorphism Theorem is proven.

$2.19