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gamma11
11-18-2006, 10:44 PM
Suppose Q[sqrt(d)] is a UFD, and alpha is an integer in Q[sqrt(d)] so that alpha and alpha bar have no common factor, but N(alpha) is a perfect square in Z. Show that alpha is a perfect square in the quadratic integers in Q[sqrt(d)].

Please teach me how to solve this question. Thank you very much.
OfficeShredder
11-19-2006, 06:05 AM
What is N(alpha) supposed to be?
gamma11
11-20-2006, 05:03 PM
norm of alpha

I have already solved this question. Thank you very much.