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quotient field
(redirected from Field of fractions)

   Also found in: Wikipedia 0.02 sec.
quotient field [′kwō·shənt ‚fēld]
(mathematics)
The smallest field containing a given integral domain; obtained by formally introducing all quotients of elements of the integral domain.


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Construction of the division ring of fractions One common way of constructing fields is to take the field of fractions of an integral domain, a process exactly like that of constructing the field of rational numbers from the ring of integers.
 
 
 
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