Examples
- The field of fractions of the ring of integers is the field of rationals, Q = Quot(Z).
- Let R := { a + b i | a,b in Z } be the ring of Gaussian integers. Then Quot(R) = {c + d i | c,d in Q}, the field of Gaussian rationals.
- The field of fractions of a field is isomorphic to the field itself.
- Given a field K, the field of fractions of the polynomial ring in one indeterminate K (which is an integral domain), is called the field of rational functions or field of rational fractions and is denoted K(X).
Read more about this topic: Field Of Fractions
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