intersection of ideals...
Hi... Thank you.
I'm confused regarding the problem of finding an intersection of two specific ideals. How do I approach such a problem?
I'm given R = Q[x] - the polynoms over Q.
and these two ideals:
I = I(x)R = (2x^3 + x^2 -6x -3)R; J= J(x)R = (2x^3-x^2-x)R.
(I marked the specific polynoms as I(x) and J(x) for convinience).
I unerstand what this means, and I understand that if p(x) is in I and J, then there exists r1(x) and r2(x) in R so that:
p(x) = I(x)r1(x) = J(x)r2(x)
However I have no idea how to simplify that and I feel I'm off the track...