Show that the mapping : D F in the proof of Theorem 15.6

Chapter 15, Problem 7E

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Problem 7E

Show that the mapping Φ: D F in the proof of Theorem 15.6 is a ring homomorphism.

Reference:

Theorem 15.6 Field of Quotients

Let D be an integral domain. Then there exists a field F ( called the field of quotients of D ) that contains a subring isomorphic to D.

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