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

    Prove that if [a , b] = [a΄, b΄] and [c , d] = [c΄, d΄] then [a , b] + [c , d] = [a΄, b΄] + [c΄, d΄].

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    This is an example of a ring theory proof regarding field of quotients of an integral domain.

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