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 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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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)
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