# Abstract Algebra Proof : Ideals and Ring Homomorphisms

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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.

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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.

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and are ideals of the ring , ...

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