• Mar 12th 2011, 06:47 AM
DukeSteve
Hello experts,

Given that there is a commutative ring R and 2 ideals I and J, also given that I is included in J

I need to prove

• Mar 12th 2011, 08:32 AM
Tinyboss
These are both immediate from the definition of the radical of an ideal. Do you understand the definition? Have you tried to write down precise statements of (1) and (2) in terms of that definition? That's essentially all this problem calls for.
• Mar 12th 2011, 08:38 AM
FernandoRevilla
A tiny hint:

$I\subset \textrm{rad}(I)$