Explore BrainMass

Abstract Algebra Proof : Ideals and Ring Homomorphisms

Let and be ideals of the ring and suppose I C J.
Prove: The function phi : R/I --> R/J defined by phi(a+I)=a+J is a well-defined ring homomorphism that is also onto.

Please see the attached file for the fully formatted problem.


Solution Summary

Ideals and Ring Homomorphisms are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.