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    Ideals and Rings : Homomorphisms

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    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).

    © BrainMass Inc. brainmass.com March 4, 2021, 5:54 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/ideals-rings-homomorphisms-17290

    Solution Summary

    The Second Isomorphism Theorem is proven.

    $2.19

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