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    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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    © BrainMass Inc. brainmass.com February 24, 2021, 2:38 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/abstract-algebra-proof-ideals-ring-homomorphisms-33706

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    and are ideals of the ring , ...

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