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    Ring theory proof

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    Modern Algebra
    Ring Theory (VIII)
    The Field of Quotients of an Integral Domain

    Prove the distributive law in F , the field of quotients of D, where D is the ring of integers.

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    Solution Preview

    see attached

    Prove the distributive law in , the field of quotients of , where is the ring of integers.

    Solution:- We have to prove that
    -----------------------(1)
    (Right distributive law)
    -----------------------(2)
    (Left distributive law)

    L.H.S. of (1)
    ...

    Solution Summary

    This is a ring theory proof of the distributive law in the field of quotients of the ring of integers.

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