Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

A2.4 B2.3

Groups, Rings and Fields | Part II, 2002

(i) Show that the ring Z[i]\mathbb{Z}[i]Z[i] is Euclidean.

(ii) What are the units in Z[i]\mathbb{Z}[i]Z[i] ? What are the primes in Z[i]\mathbb{Z}[i]Z[i] ? Justify your answers. Factorize 11+7i11+7 i11+7i into primes in Z[i]\mathbb{Z}[i]Z[i].

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