Question: solve these question t =43 Questions: Let d E Z and let vd e C be a square root of d which is sq 1.

solve these question t =43

Questions: Let d E Z and let vd e C be a square root of d which is sq 1. Prove that Z[vd] = {a + bvd: a, be Z) is a sub 2. What are units in Z[vd]? 3. What are zero divisors in the ring Z[vd]? 4. What type of ring is Z[vd]? Prove your answer! 5. What is field of fractions of Z[vd]? 6. Is the ring Z[vd] PID or Euclidean domain? Exp Note: d is square free your roll no. For example roll no. 12 = 4.3 - 6 Then consider Z[Vd] and d = 6 and -6. Solve all quest Z[V-6]

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