Number Field/Examples/Rational Numbers
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Example of Number Field
The field of rational numbers $\Q$ is a number field.
Proof
From Rational Numbers form Subfield of Complex Numbers, $\Q$ is a subfield of $\C$.
Hence the result by definition of number field.
$\blacksquare$
Sources
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Chapter $3$: Field Theory: Definition and Examples of Field Structure: $\S 88$