I need the proof:

The set of rational numbers (Q) is a Prime Field.

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- Apr 12th 2010, 03:00 AMmanikPrime Field
I need the proof:

The set of rational numbers (Q) is a Prime Field. - Apr 12th 2010, 03:46 AMtonio

Let be any field with characteristic zero, then show that the map , defines an injection (of rings) of .

Another way: first prove that is an injection , and then extend this to inverses within by defining

Finally , deduce that any field of char. zero contains an isomorphic copy of ...

Tonio