# Ring theory proof

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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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#### Solution Summary

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

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