Hi,

i need to show which of the following are euclidean domains:

a) C[x] with d(f)=deg(f) (where C[x] = set of polynomials with complex coefficients)

b) set of integers with d(n)=|n|+1

c) ring of integers modulo 5 with d(f)=2deg(f)

d) ring of integers modulo 6 with d(f)=deg(f)

e) Z(w) where w=(1+root(-3))/2, with d(z)=|z|^2

i know that an integral domain is a Euclidean domain if it has a Euclidean function but i dont know how to start off the question.

Thanks!