Let be a square-free integer with . By considering the factorisation of , show that the ring is never a Unique Factorisation Domain.

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- February 22nd 2010, 03:35 AMBoysilverProve Z[sqrt(d)] is not a UFD when d=1 mod 4
Let be a square-free integer with . By considering the factorisation of , show that the ring is never a Unique Factorisation Domain.

- February 22nd 2010, 05:14 AMNonCommAlg