You are not logged in.
Pages: 1
In ring R= Z + sqrt(-5)Z
1) do this elements 6 and 2(1+sqrt(-5)) have gcd? if yes, which is it
2) -------||--------------------------------------- lcm? ----||------
hint: use function N:Z+sqrt(-5)---->Z a+b*sqrt(-5) |-----> a^2+ 5* b^2
Is anybody wants to help..
1.Let p_1,p_2 e Z[x]. Z[p_1,p_2] is subring og Z[x] generated with Z U {p_1,p_2}
are Z[x^2 - x^5, x^2 - 2x^5], Z[x^2+x^6,x^2+2x^6] unique factorization domain?
2.Prove that the ring Z[2 *sqrt(-1)]={a+2b* sqrt(-1), a,b e Z} is not principial ideal domain. Is it Euclidean domain?
I need help because I'm not good at this
Pages: 1