Thread: prime ideal

Assume R is commutative. Let I and J be ideals of R and assume P is a prime ideal of R that contains IJ. Prove either I or J is contained in P.

Originally Posted by dori1123

Assume R is commutative. Let I and J be ideals of R and assume P is a prime ideal of R that contains IJ. Prove either I or J is contained in P.

this is a trivial problem! are you saying that you have absolutely no idea how to solve it?!!