Let $\displaystyle P_1=<x,y>, P_2=<x,z>, P_3=<y,z> \in \mathbb{Q}[x,y,z]$.

Compute an irredundant primary decomposition and the associated primes of the product $\displaystyle P_1P_2P_3$.

How can I compute a primary decomposition???

If you serve solution of this problem, then it's very helpful for me.

Please help me..