Field of fractions Watch

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Report Thread starter 12 years ago
Hello there,
I am just revising the field of fractions. I've been through the equivalence relation required, the construction of the field of fractions, some examples (like the Gaussian rationals etc). But there are a couple of things I'm still not sure about.

For example, I am not sure about the following questions.

1) What is the field of fractions of Z_p , where p is prime ??
2) WHat is the field of fractions of the ring D = {a + b*sqrt2 | a, b E Z} ??

For question 2, isnt the field of fractions just {a/c + b*sqrt2/d | a,b,c,d E Z} ??

Any help with these two questions would be much appreciated.

Thank you for your time .

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