i2 : I = ideal (a*bc,d^3);
o2 : Ideal of R

i3 : J = ideal (a^3,b*cd);
o3 : Ideal of R

i4 : I+J
3 3
o4 = ideal (a*b  c, d , a , a*d  d)
o4 : Ideal of R

i5 : I*J
4 3 2 3 3 4 4
o5 = ideal (a b  a c, a b*d  a*b*d  a*c*d + c*d, a d , a*d  d )
o5 : Ideal of R

i6 : I^2
3 2 3 3 6
o6 = ideal (a c  2a d + b*d, a*b*d  c*d , d )
o6 : Ideal of R
