Hi,

Just trying to work on my rings and fields.

If its not too much trouble could someone explain how to do this for me? Its not so much a solution I'm looking for as the method as I really need to understand it

Let R={a+b ROOT(-14) e C:a,b e Z}

where C is complex and Z is the real no's

(i) Prove that U(R)= {+-1}

(ii) Show that the elements 3,5, (1+ROOT(-14)) and (1- ROOT(-14))

are irreducible in R

(iii) By considering the equatioion 3.5 = (1+ROOT(-14))(1- ROOT(-14)) show that 3 is not prime in R

(iv) Is R a unique factorisation domain?

I know there are a few concepts involved but I really am in trouble in this subject and help would be much appreciated

Thanks