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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 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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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 provided by:
Thokchom Sarojkumar Sinha, MSc
Education
  • BSc, Manipur University
  • MSc, Kanpur University
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