The problem states: Determine Q(D) for D = {m + n√2 | m,n in Z} where D is an intefral domain and Q(D) its quotient field. I know that the answer is Q(D) Q(√2), but am not sure how to come to this conclusion.
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Originally Posted by page929 The problem states: Determine Q(D) for D = {m + n√2 | m,n in Z} where D is an intefral domain and Q(D) its quotient field. I know that the answer is Q(D) Q(√2), but am not sure how to come to this conclusion. Hint: assuming Tonio
We can also use that is the smallest field containing (up to isomorphism) and the smallest field containing (up to isomorphism) .
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